Question

Daylyn wants to win headphones . In addition to his grandmother and uncle, some friends of his agree that each one will give him a $5 donation . Some other friends agree that each one will pay him $0.25 for every correct answer. The number of friends who donate $ 5 to Daylyn is 3 times the number who pays him for correct answers. Write and solve an equation to find the number of friends who must pay him $0.25 for each correct answer in order for Daylyn to meet his goal

Answer 1

Let

x ------> number of friends of his agree that each one will give him a $5 donation

y -----> the number of friends who must pay him $0.25 for each correct answer

so

to win headphones-------> $350

we have that

x=3y -------> equation A

5x+0.25y=350 -------> equation B

substitute equation A in equation B

5(3y)+0.25y=350

solve for y

15y+o.25y=350

15.25y=350

y=22.95

therefore

the answer is 23 friends who must pay him $0.25 for each correct answer