If 100 coins consist of quarters and loonies , how many of each are there if they are $79.75 in total?

Question

system of linear equation question.

Answer 1

Alex

 

Q = # quarters

L = # loonies

quarters are 25 cents each

loonies are $1 each

 

Q + L = 100

.25Q + L = 79.75

 

Since Q+L=100, then L = 100-Q

 

Using substitution

.25Q + 100-Q = 79.75

100-.75Q = 79.75

20.25 = .75Q

Q = 27

therefore L = 73