Question

Andrew and Ryan spend a total of $44 at a state fair. There is an entrance fee of x dollars per person, and each ride costs $3.50. If they went on the same number of rides, which equation correctly represents this relationship, where n is the number of rides? Choose all that apply.

A. x + 7n = 44

B. 2(x + n) = 44

C. 2(x + 3.5n) = 44

D. x + 3.50n = 44

E. 2x + 7n = 44

F. 2x + 3.50n = 44

Answer 1

n represent the number of rides each of them took

entrance fee for both of them = 2x
Total cost of rides = 2n x 3.50 = 7n

The total cost is 44
2x + 7n = 44 (Answer E)

2x + 7n = 44
2(x + 3.5n) = 44 (Answer C)

Answer 2

C. 2(x + 3.5n) = 44

E. 2x + 7n = 44

Explanation:

Hi, to answer this question we have to write an equation that represents the situation:

So, the total money spent by the 2 friends is $44. That cost is equal to the price of the entrance fee (x) multiplied by 2 (since they are 2), plus the cost of each ride (3.50) multiplied by the number of rides (n) and also by 2 (since they are 2)

Mathematically speaking:

2(x + 3.5n) = 44

So, the correct options are

C. 2(x + 3.5n) = 44

E. 2x + 7n = 44 (is equivalent, obtained if we apply distributive property to option C.)