Cost?

Algebra Level 1

The cost of hiring props for the school play was to be shared by 8 students. 4 more students decide to share the cost. The new cost per person is $2 less. What is the total cost of hiring props?

52 50 48 46

2 solutions

Md Omur Faruque
Oct 20, 2015

Let the cost per student be $x$ and the total cost be $y$ .

Then we have $2$ equations from the $2$ conditions given in the question, $8x=y$ $12(x-2)=y$ $\Rightarrow (x, y) =(6,48)$

Therefore, total cost $y$ is $\color{#0C6AC7} {\boxed {48}}$ .

Mamun Abdullah
Oct 20, 2015

Let the total cost be x. The cost per student originally = x/8 The cost per students after 4 more students join in = x/12 The difference is 2, so x/8 - x/12 = 2. Add the fractions by putting on acommon denominator (24) (3x - 2x)/ 24 = 2; x/24 = 2; x = 48

Cost?

2 solutions

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