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Question

# A group of junior high students will be touring Washington, D.C. Their chaperons will have the $1,810 cost of the tour reduced by$15.50 for each student they personally supervise. How many students will a chaperon have to supervise so that his or her cost to take the tour will be \$1,500?

Solution

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\begin{align*} &{\text{Let x = number of students}}\\ &1810 - 15.50x = 1500 && {\text{Equation}}\\ &1810 - 15.50x - 1810 = 1500 - 1810 && {\text{Use subtraction property of equality}}\\ &-15.50x = -310 && {\text{Simplify}}\\ &\dfrac{\cancel{-15.50}x}{\cancel{-15.50}} = \dfrac{-310}{-15.50} && {\text{Use division property of equality}}\\ &{\color{#4257b2}x = 20} && {\text{Simplify}}\\ \end{align*}

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