Math Resource Center - Solved Problems
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The following posts are word problems in Mathematics with a given solution. Thus, it is called "Solved Problems". To browse by topic or category, please use the drop-down menu above.enThe annual sophomore class picnic is a plan by committee consisting of 17 members.
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<!-- google_ad_section_start --><p><span>The annual sophomore class picnic is a plan by committee consisting of 17 members. A vote to determine whether the picnic should be held at the beach or in the mountains resulted in a victory for the beach location. However if the two committee members had changed the vote from favoring the beach to favoring the mountains, the mountain site would have won by one vote. How many votes did each picnic location receive?<br />
<img width="400" height="250" alt="" src="/userfiles/image/beach-or-mountain.png" rel="lightbox" /><br />
<b>Solution:<br />
</b><br />
Based on the problem data, let us use the following variable representation:<br />
<br />
<b><i>x</i></b> = beach voter<br />
<b><i>y</i></b> = mountain voter</span></p><!-- google_ad_section_end --><p><a href="http://mathresourcecenter.com/content/annual-sophomore-class-picnic-plan-committee-consisting-17-members" target="_blank">read more</a></p>http://mathresourcecenter.com/content/annual-sophomore-class-picnic-plan-committee-consisting-17-members#commentsApplications of Linear EquationsAlgebraLinear EquationsAlgebraApplications of Linear EquationsNumber ProblemSolved ProblemsSat, 30 Jun 2012 18:41:58 +0000JM106 at http://mathresourcecenter.comThe profits of a business are shared among three stockholders
http://mathresourcecenter.com/content/profits-business-are-shared-among-three-stockholders
<!-- google_ad_section_start --><p><span style="Adobe Heiti Std R"">The profits of a business are shared among three stockholders. The first stockholder receives twice as much as the second and the second receives three times as much as the third. If the profits for last year were $ 26,400, how much did each stockholder receive?</span></p><!-- google_ad_section_end --><p><a href="http://mathresourcecenter.com/content/profits-business-are-shared-among-three-stockholders" target="_blank">read more</a></p>http://mathresourcecenter.com/content/profits-business-are-shared-among-three-stockholders#commentsApplications of Linear EquationsAlgebraAlgebraApplications of Linear EquationsSolved ProblemsTue, 26 Jun 2012 17:09:00 +0000JM105 at http://mathresourcecenter.comA parking meter slot receives dimes and nickels
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<!-- google_ad_section_start --><p><span style="Adobe Heiti Std R"">A parking meter slot receives dimes and nickels. When the meter box was emptied there were 148 coins and a total of $ 10.65. How many dimes and how many nickels were there? </span></p><!-- google_ad_section_end --><p><a href="http://mathresourcecenter.com/content/parking-meter-slot-receives-dimes-and-nickels" target="_blank">read more</a></p>http://mathresourcecenter.com/content/parking-meter-slot-receives-dimes-and-nickels#commentsApplications of Linear EquationsAlgebraAlgebraApplications of Linear EquationsSolved ProblemsMon, 25 Jun 2012 11:28:20 +0000JM104 at http://mathresourcecenter.comAdmission tickets to a local circus show were priced at USD4 for adult and USD3 for the student.
http://mathresourcecenter.com/content/admission-tickets-local-circus-show-were-priced-usd4-adult-and-usd3-student
<!-- google_ad_section_start --><p class="rteleft"><span style="">Admission tickets to a local circus show were priced at 4 dollars for adult and 3 dollars for the student. For the first 3 days of the show, </span><span style="Adobe Heiti Std R"">810 tickets were sold and the total receipts were $2853. How many of the each type of ticket were sold?</span></p><!-- google_ad_section_end --><p><a href="http://mathresourcecenter.com/content/admission-tickets-local-circus-show-were-priced-usd4-adult-and-usd3-student" target="_blank">read more</a></p>http://mathresourcecenter.com/content/admission-tickets-local-circus-show-were-priced-usd4-adult-and-usd3-student#commentsApplications of Linear EquationsAlgebraLinear EquationsAlgebraApplications of Linear EquationsSolved ProblemsMon, 25 Jun 2012 07:03:11 +0000JM103 at http://mathresourcecenter.comThe longest side of a triangle is twice as long as the shortest side
http://mathresourcecenter.com/content/longest-side-triangle-twice-long-shortest-side
<!-- google_ad_section_start --><p><span>The longest side of a triangle is twice as long as the shortest side and 2 cm longer than the third side. If the perimeter of the triangle is 33cm, what is the length of each side?</span></p><!-- google_ad_section_end --><p><a href="http://mathresourcecenter.com/content/longest-side-triangle-twice-long-shortest-side" target="_blank">read more</a></p>http://mathresourcecenter.com/content/longest-side-triangle-twice-long-shortest-side#commentsApplications of Linear EquationsAlgebraAlgebraApplications of Linear EquationsGeometry ProblemSolved ProblemsSun, 24 Jun 2012 16:54:31 +0000JM102 at http://mathresourcecenter.comPerimeter problem
http://mathresourcecenter.com/content/perimeter-problem
<!-- google_ad_section_start --><p><span>If the width of a rectangular field is 2 meters more than one-half of its length and its perimeter is 40 meters, what are the dimensions?</span> </p><!-- google_ad_section_end --><p><a href="http://mathresourcecenter.com/content/perimeter-problem" target="_blank">read more</a></p>http://mathresourcecenter.com/content/perimeter-problem#commentsAlgebraApplications of Linear EquationsGeometry ProblemSolved ProblemsMon, 09 Apr 2012 19:16:14 +0000JM101 at http://mathresourcecenter.comFinding 3 consecutive even numbers
http://mathresourcecenter.com/content/finding-3-consecutive-even-numbers
<!-- google_ad_section_start --><p>Find three consecutive even integers whose sum is 138.</p>
<!-- google_ad_section_end --><p><a href="http://mathresourcecenter.com/content/finding-3-consecutive-even-numbers" target="_blank">read more</a></p>http://mathresourcecenter.com/content/finding-3-consecutive-even-numbers#commentsAlgebraApplications of Linear EquationsNumber ProblemSolved ProblemsFri, 06 Apr 2012 20:01:34 +0000JM100 at http://mathresourcecenter.comNumber Problem: Number relationships
http://mathresourcecenter.com/content/number-problem-number-relationships
<!-- google_ad_section_start --><p>The smaller of two numbers is 9 less than the larger, and their sum is 37. Find the numbers.<br />
<br />
Solution:<br />
<br />
Based on the problem statement, the following representation is derived:<br />
<br />
Let</p>
<!-- google_ad_section_end --><p><a href="http://mathresourcecenter.com/content/number-problem-number-relationships" target="_blank">read more</a></p>http://mathresourcecenter.com/content/number-problem-number-relationships#commentsAlgebraApplications of Linear EquationsNumber ProblemSolved ProblemsFri, 06 Apr 2012 13:47:11 +0000JM99 at http://mathresourcecenter.comNumber Problem: Find two numbers
http://mathresourcecenter.com/content/number-problem-find-two-numbers
<!-- google_ad_section_start --><p>Problem: Find two numbers whose sum is 7 provided that one is 3 times the other.<br />
<br />
Solution:<br />
<br />
Based on the problem statement, the following representation is derived:<br />
<br />
Let</p>
<!-- google_ad_section_end --><p><a href="http://mathresourcecenter.com/content/number-problem-find-two-numbers" target="_blank">read more</a></p>http://mathresourcecenter.com/content/number-problem-find-two-numbers#commentsAlgebraApplications of Linear EquationsNumber ProblemSolved ProblemsFri, 06 Apr 2012 13:42:18 +0000JM98 at http://mathresourcecenter.comNumber Problem: Sum of two numbers
http://mathresourcecenter.com/content/number-problem-sum-two-numbers
<!-- google_ad_section_start --><p><span style="Adobe Heiti Std R"">The sum of two numbers is 9 and their difference is 6. What are the numbers?</span></p><!-- google_ad_section_end --><p><a href="http://mathresourcecenter.com/content/number-problem-sum-two-numbers" target="_blank">read more</a></p>http://mathresourcecenter.com/content/number-problem-sum-two-numbers#commentsAlgebraApplications of Linear EquationsNumber ProblemSolved ProblemsFri, 06 Apr 2012 13:30:16 +0000JM97 at http://mathresourcecenter.com