Question

i need this asap! will give brainliest and a thanks to whoever answers fast :)

Answer 1

Let x and y represent the cost of a blouse and a skirt respectively.

Given;

Dahlia paid $216 for 4 blouses and 5 skirts;

$4x+5y=216-----1$

A skirt cost 4 times as much as a blouse;

$y=4x-------2$

We have a system of equation.

Solving the simultaneous equation by substitution;

$\begin{gathered} 4x+5y=216 \\ 4x+5(4x)=216 \\ 4x+20x=216 \\ 24x=216 \\ x=\frac{216}{24} \\ x=9 \end{gathered}$

substituting the value of x into equation 2 to solve for y;

$\begin{gathered} y=4x \\ y=4(9) \\ y=36 \end{gathered}$

So, the cost of 5 skirts is;

$undefined$