Question

The ratio of the cost of a shirt to the cost of a jacket is 2:5. If the jacket cost $240 more than the shirt,

find the cost of the shirt and the cost of the jacket.

Answer 1

Given:

The ratio of the cost of a shirt to the cost of a jacket is 2:5.

The jacket cost $240 more than the shirt.

To find:

The cost of the shirt and the cost of the jacket.

Solution:

Let x be the cost of the shirt.

The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).

The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,

`(x)/(x+240)=(2)/(5)`

`5x=2(x+240)`

`5x=2x+480`

Subtract 2x from both sides.

`5x-2x=480`

`3x=480`

Divide both sides by 3.

`x=(480)/(3)`

`x=160`

So, the cost of shirt is $160.

Now, the cost of jacket is:

`160+240=400`

Therefore, the cost of shirt is $160 and the cost of jacket is $400.