Question

the cost of two different membership plans to the zoo are shown in the table below.
membership plans
for how many family members will the cost of the zoo membership be the same?
______ family members

Explanation:

Step1: Define variable for members

Let $x$ = number of family members.

Step2: Write cost equations for plans

Cost of Plan A: $20x + 15$
Cost of Plan B: $15x + 30$

Step3: Set costs equal to each other

$$20x + 15 = 15x + 30$$

Step4: Solve for x

Subtract $15x$ from both sides:
$5x + 15 = 30$
Subtract 15 from both sides:
$5x = 15$
Divide by 5:
$x = 3$

Answer:

3 family members