Question

Question #01dd5

Answer 1

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 = 4S`

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 `(J=4S)`

So:

`J + S = 75`

`4S + S = 75`

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

`4S+S=75`

`5S=75`

`(5S)/5 = 75/5`

`S=15`

Each shirt therefore costs $15.

To find price of Jacket, just put it in the formula we found earlier `J=4S=4(15)=60`

We see that `60+15=75` , therefore our answer is correct.