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,

$\dfrac{x}{x+240}=\dfrac{2}{5}$

$5x=2(x+240)$

$5x=2x+480$

Subtract 2x from both sides.

$5x-2x=480$

$3x=480$

Divide both sides by 3.

$x=\dfrac{480}{3}$

$x=160$

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.