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

Respuesta :

Answer:

The shirt cannot be more expensive than $40

Step-by-step 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 : [tex]cost = 2x[/tex]

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

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

[tex]x+2x+20 = 140\\\\3x+20 =140[/tex]

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

[tex]3x+20 =140\\3x = 120\\x = 40[/tex]