The length of a rectangle is 5 cm less than twice the width. The perimeter of the rectangle is 80 cm. Find the dimensions
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x + y = 15 and 5x + 10y = 100 are the system of equations that represent this situation
<em><u>Solution:</u></em>
Let "x" be the number of multiple choice questions
Let "y" be the number of short answer questions
Worth of 1 multiple choice questions = 5 points
Worth of 1 short answer question = 10 points
<em><u>Ms. Lee wrote a test with 15 multiple choice short answer questions</u></em>
Therefore,
number of multiple choice questions + number of short answer questions = 15
x + y = 15 -------- eqn 1
<em><u>The maximum number of points possible on the test is 100</u></em>
Therefore, we frame a equation as:
number of multiple choice questions x Worth of 1 multiple choice questions + number of short answer questions x Worth of 1 short answer question = 100
5x + 10y = 100 ------- eqn 2
Thus eqn 1 and eqn 2 are the system of equations that represent this situation