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5 September, 12:19

The number of sit-ups Micah does is the sum of twice a number and 25. The number of sit-ups Micah does is also 3 times the number minus 25. How

many sit-ups does Micah do? (hint: set up two equations, then solve for each variable)

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  1. 5 September, 12:24
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    Answer: 125

    Step-by-step explanation:

    Let the number represented in the question be b.

    Let the number of situps be also represented by z.

    The number of sit-ups Micah does is the sum of twice a number and 25. This means:

    z = (2*b) + 25

    z = 2b + 25 ... equation i

    The number of sit-ups Micah does is also 3 times the number minus 25. This means:

    z = (3*b) - 25

    z = 3b - 25 ... equation ii

    Equate equation I and ii together.

    2b + 25 = 3b - 25

    Collect like terms

    3b - 2b = 25 + 25

    b = 50

    Put the value of back into equation I

    z = 2b + 25

    z = (2*50) + 25

    z = 100 + 25

    z = 125

    The number of situps is 125.
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