Joe has 120 coins, all nickels and dimes. He has 20 more dimes then nickels.

a) Write a system of equations representing the scenario.

b) How many nickels and how many dimes does Joe have?

GAMEMASTERX40
Jun 7, 2018

#1**+2 **

a) Let D be the number of dimes and N be the number of nickels

And we know that

D + N = 120

N + 20 = D

b) To solve this, sub the second equation in the first for "D" and we have

( N + 20 ) + N = 120 simplify

2N + 20 = 120 subtract 20 from each side

2N = 100 divide both sides by 2

N = 50 = the number of nickels

And N + 20 = D...so

50 + 20 = D = 70 = the number of dimes

CPhill
Jun 7, 2018