Vinnie has a bag of dimes and quarters. He has a total of 44 coins worth $8.30. D represent the number of dimes and Q represent the number of quarters how many of each coin does Vinny have?

Answer 1

This can be solved with a system of 2 equations in 2 unknowns D and Q.

D + Q = 44

0.10D + 0.25Q = 8.30

From the top equation, get

D = 44 - Q

Plug this into the bottom equation.

0.10(44 - Q) + 0.25Q = 8.30

Solve this last equation for Q, and then plug the value of Q into the top equation and solve for D. You should be able to finish from here.