Question

A person can pay 18$ for a membership at a museum and then go for just 1$ per visit. What is the maximum number of visits a member of the museum can make for a total cost of 50$?

Answer 1

Answer: 32

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Work Shown:

Let

x = number of visits

y = total cost in dollars

The membership costs $18 no matter how many visits you do. If you make x visits, at $1 each, then it costs an additional 1*x = 1x = x dollars. This is added on top of the base membership fee. In total, we know that y = 18+x = x+18

We want the total y to be at most $50. Therefore
`y \le 50`. The highest y can get is 50.

Let's replace y with x+18 and isolate x

`y \le 50`

`x+18 \le 50` y is replaced with x+18

`x+18-18 \le 50-18` subtract 18 from both sides

`x \le 32`

This tells us that we can make at most 32 visits. In other words, the maximum number of visits is 32.