Jason spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he end

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Jason spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 15 dollars?

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    2021-09-10T16:23:38+00:00

    Let x equal his allowance.

    He earns $7 for washing the family car.

    His total intake is x + 7

    He spent half of his allowance going to the movies.

    This means he spent 1/2 * x going to the movies.

    He has $15 left.

    You get:

    x + 7 – 1/2 * x = 15.

    Combine like terms to get 1/2 * x + 7 = 15.

    Subtract 7 from both sides of the equation to get 1/2 * x = 15 – 7

    Simply to get 1/2 * x = 8

    Multiply both sides of this equation by 2 to get x = 8 * 2.

    Simplify to get x = 16

    His allowance must have been $16

    He washes the family car and earns $7.

    He now has $23.

    He spends half of his allowance, which is $11.50 on the movies which means he spent $5.75 on the movies.

    He now has $23 – $5.75 = $17.25.

    His allowance had to be $16.

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