Question

Mrs. Smith decided that she would spend no more than $140 to buy a jacket and shirt. If the price of the jacket was $20 more than two times the shirt, find the highest possibly price of the shirt

Answer 1

The shirt cannot be more expensive than $40

Explanation:

So, the budget here is $140

Let, the price of the shirt be x, so since the jacket is 2 times the price of the shirt :
`cost = 2x`

But the other condition is that it is 20 dollars more than twice the shirt so we get:
`cost = 2x +20`

Then the cost of the jacket and the shirt should not be more than $140 so:

`x+2x+20 = 140\\\\3x+20 =140`

So, to find the highest possible cost we solve for x:

`3x+20 =140\\3x = 120\\x = 40`