Question

Clark spent a total of $52 on a pair of shoes and a new jacket. The shoes cost $4 more than the jacket. Write a system of equations to find the cost of the shoes x and the cost of the jacket y. Then find the cost of the jacket.

Answer 1

Answer:

• x+y=52
• x-y=4
• y=24

Step-by-step explanation:

The sum of the two costs is $52, so we can write ...

  x + y = 52

The shoes cost $4 more than the jacket, so we can write ...

  x - y = 4

These are your system of equations.

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Subtract the second equation from the first:

  (x +y) -(x -y) = (52) -(4)

  2y = 48 . . . . . simplify

  y = 24 . . . . . . .divide by 2

The cost of the jacket is $24.