Question

A jar containing only nickels and dimes contains a total of 235 coins. The value of all the coins in the jar is $19.75. Find the amount of nickels and dimes that are in the jar

Answer 1

160 dimes

75 nickles

Explanation:

n = nickles

d = dimes

0.05n + 0.1d = $19.75

or

5n + 10d = $1975 multiply by 100 to get rid of decimals

5n + 10d = $1975

n + d = 235 total coins

n = 235 - d

5(235 - d) + 10d = 1975 substitute n

235-d + 2d = 395 divide both sides by 5

235 + d = 395 combine like terms

d = 160

n + 160 = 235 coins substitute d back into original equation

n = 75