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strojnjashka [21]
2 years ago
9

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,

Mathematics
1 answer:
IrinaVladis [17]2 years ago
6 0

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.

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