Question #01dd5
1 Answer
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 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
To make this easier, we can substitute J with the equation we found earlier
So:
Now you just have to isolate for S to find price of shirt.
Each shirt therefore costs $15.
To find price of Jacket, just put it in the formula we found earlier
We see that