Marc bought a pair of sneakers and a sweatshirt for $120. if the sweatshirt cost one-half the price of sneakers, find the cost of each

The pair of sneakers cost 80 dollars.

The sweatshirt costs 40 dollars.

Step-by-step explanation:

Let x represent the pair of sneakers

Let y represent the sweatshirt

x + y = 120

The sweatshirt costs one-half the price of sneakers, which is represented by:

y = 1/2(x)

Use the substitution method

x + y = 120

x + 1/2(x) = 120

Multiply the equation by 2

2x + x = 240

3x = 240

x = 80

The cost of the sneakers is 80 dollars

To determine the cost of the sweatshirt subtract 120 by 80/

120 - 80 = 40

The cost of the sweatshirt is 40 dollars

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