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

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 ag class=

Respuesta :

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