# Question #01dd5

Jan 4, 2018

Shirt costs $15 #### Explanation: Let's start by finding an equation for the cost of the jacket: From the question, we see that a jacket costs 4 times as much as a shirt. So basically the price of the shirt multiplied by 4 is the cost of the jacket. Another way of phrasing this essentially is: The cost of the shirt is less than the jacket by 4 times. From this, we can see that: $J = 4 S$J being jacket, and S being shirts, we can see that Also from the question, we see that the total of the shirt AND the jacket costs a total of$75

This means that $J + S = 75$

To make this easier, we can substitute J with the equation we found earlier $\left(J = 4 S\right)$

So:

$J + S = 75$

$4 S + S = 75$

Now you just have to isolate for S to find price of shirt.

$4 S + S = 75$

$5 S = 75$

$\frac{5 S}{5} = \frac{75}{5}$

$S = 15$

Each shirt therefore costs $15. To find price of Jacket, just put it in the formula we found earlier $J = 4 S = 4 \left(15\right) = 60$We see that $60 + 15 = 75\$ , therefore our answer is correct.