i have a total of 20 coins. the value of the coins is 3$.all the coins are nickels and quarters. give a pair of equations that can be used to find out how many of each coins we have

Answer 1

N+Q = 20

.05N+.25Q = 3.00

multiply both sides of 1st equation by .05 to get

.05N+.05Q = 20(.05)= 1.00

subtract last equation from 1st equation to get

.2Q = 2

divide both sides by .2

Q = 2/.2 = 10 Quarters

N= 20-10 = 10 Nickels

check the answer

.05(10)+.25(10)= 0.50+2.50= $3