a jar contains n nickels and d dimes. there are 24 coins in the jar, and the total value of coins is $1.70. how many nickels and how many dimes are in the jar

Answer 1

Create 2 equations: one using the number of coins & the other using the value of the coins

n + d = 24 5n + 10d = 170

Solve both equations for n

n = 24 - d n = 34 - 2d

Since both expressions on the right equal d, they equal each other. Use this to solve for d.

24 - d = 34 - 2d

-24 -24

-d = 10 - 2d

+2d +2d

d = 10

If there are 10 dimes out of 24 coins, 14 of them are nickels

n=14 d=10