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24 May, 16:00

Isaac wants to join a gym. He checked out the membership fees at two gyms.

Gym A charges a new member fee of $65 and $20 per month.

Gym B charges a new member fee of $25 and $35 per month, but Isaac will get a discount of 20% on the monthly fee

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Answers (2)
  1. 24 May, 16:17
    0
    Gym A charges a new member fee of $65 and $20 per month.

    When you see 'per' in a problem, it usually means the next word will be the variable in the equation. The next word is 'month' so use 'm' as the variable.

    This gives you: 20m

    Gym A doesn't charge you 65 per anything, so it is just on it's own.

    This gives you: + 65

    Add these parts together to get:

    20m + 65

    Gym B charges a new member fee of $25 and $35 per month, but Isaac will get a discount of 20% on the monthly fee.

    First thing's first, find 20% of 35, the monthly fee.

    35 *.8 = 28

    (I got. 8 because. 8 = 80% which would be what price is left)

    The monthly fee is 28. Monthly fees are 'per month' so it will be 'm' again.

    This gives you: 28m

    The new member fee doesn't have 'per month' so it's on it's own.

    This gives you: + 25

    Put them together and bam,

    28m + 25

    Now that you have both equations, put them on either side of an equal signs, so you can find when they are equal.

    28m + 25 = 20m + 65

    Solve the equation.

    28m + 25 = 20m + 65

    -20m - 20m

    8m + 25 = 65

    -25 - 25

    8m = 40

    /8 / 8

    m = 5

    When the membership is 5 Months, they are equal
  2. 24 May, 16:18
    0
    Gym a:

    $65 + $20 per month

    $65 + 20m m=month

    gym b:

    $25 + $35 per month with 20% discount

    $25 + $28m
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