The Stanton Athletic Club Twilight Bicycle Race fees are $25 per race for USCF licensed riders and $15 for junior racers. The total number of racers was 321. The income from the fees was $6935.

(a) What are the variables in this situation?

(b) Write a system of equations to determine the number of racers of each type.

Question

The Stanton Athletic Club Twilight Bicycle Race fees are $25 per race for USCF licensed riders and $15 for junior racers. The total number of racers was 321. The income from the fees was $6935.

(a) What are the variables in this situation?

(b) Write a system of equations to determine the number of racers of each type.

anonymous · Answer

@Decarr432

anonymous · Answer

Let L and J be the number of licensed riders and junior racers, respectively.
You require two equations to solve the two unknowns, L and J.

" The total number or racers was 321 "
L + J = 321

" The total income from the fees was $6935 "
25 L + 15 J = 6935

Can you solve this problem given the information above?