Question

How do I solve this type of problem? How many steps are there.
The cost of a membership at a health club last year was 75% of the cost at the club this year. This year's membership costs $20 more than last year's membership. Find the cost of a membership last year and the cost of a membership this year.

Answer 1

last year = x
this year = x+20

x = 0.75(x+20)

Answer 2

Simplifying
x = 0.75(x + 20)

Reorder the terms:
x = 0.75(20 + x)
x = (20 * 0.75 + x * 0.75)
x = (15 + 0.75x)

Solving
x = 15 + 0.75x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.75x' to each side of the equation.
x + -0.75x = 15 + 0.75x + -0.75x

Combine like terms: x + -0.75x = 0.25x
0.25x = 15 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
0.25x = 15 + 0.00
0.25x = 15

Divide each side by '0.25'.
x = 60

Simplifying
x = 60

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Answer 3

Thanks. Membership last year was $60 and membership this year is $80.