Question

The total cost to rent costumes for the school play is $180.00. Since the boys' costumes are more elaborate, they cost $9.00 each, while the girls' cost $4.50 each. a. Write the equation that represents the scenario. Let x represent the number of boys' costumes and y represent the number of girls' costumes. b. Solve the equation for y.

Answer 1

Let x represents the number of boys' costumes and y represents the number of girls' costume.

Boys' costumes are $9.00 each and girls' costume are $4.50 each

(a) Therefore, the equation describing the scenario is

$9x+4.5y=180$

(b) Now, from the above equation,

$\begin{gathered} 4.5y=180-9x \\ y=\frac{180-9x}{4.5} \\ =\frac{9(20-x)}{4.5} \\ =2(20-x) \end{gathered}$

So, the solution for y is

$y=2(20-x)$