Casey wants to buy a gym membership. One gym has a $108 joining fee and costs $32 per month. Another gym has no joining fee and costs $59 per month. Part 1 out of 2
In how many months will both gym memberships cost the same? What will that cost be? Both gym memberships will cost the same in months.

the number of months in which there membership cost would remain the same is 4 months

Step-by-step explanation:

The computation of the number of months in which there membership cost would remain the same is shown below:

Let us assume the number of months be M

For Gym 1, the total cost is

= $108 + 32M

And, for Gym 2, the total cost is 59M

Now equal these two gyms cost

59M = $108 + 32M

59M - 32M = $108

27M = $108

M = 4 months

Hence, the number of months in which there membership cost would remain the same is 4 months

6x + 3y ≤ 30

y ≥ 5

Step-by-step explanation:

Let

x = number of bags of chicken wings

y = number of pounds of hamburger meat

Cost of one bag of chicken wings = $6

Cost of one pound of Hamburger meat = $3

She must spend no more than $30.

The inequality

6x + 3y ≤ 30

She also knows that she needs to buy at least 5 pounds of hamburger meat.

y ≥ 5