Mark the number of months at the studio as x. Describe the costs of studios A and B in terms of x to make an equation.
4
Practice makes perfect
We are told that Veronica is choosing between two health clubs. Consider the given data about each of the clubs.
Yoga Studio A
Yoga Studio B
Membership
$22
$47
Monthly Fee
$24.50
$18.25
We want to find after how many months the cost of both clubs will be the same. Let's start with defining x.
x - the number of months at the studio
Let's now express studio A and B's total cost in terms of x. Studio A costs $24.50 per month with one membership fee of $22. Therefore, its cost will be the number of months x multiplied by 24.50 plus 22. Studio B costs $18.25 a month plus a membership fee $47, so its cost will be the number of months x multiplied by 18.25 plus 47.
Studio A's cost:& 24.50x+ 22
Studio B's cost:& 18.25x+ 47
We want these costs to be equal, so we need to make an equation, which will have studio A's cost on the left-hand side, and studio B's cost on the right-hand side.
24.50x+ 22 = 18.25x+ 47
Now, we will solve the obtained equation. We will use inverse operations to combine like terms on both sides of the equals sign and solve for x.
