jorge has a total of 55 coins

Question

jorge has a total of 55 coins, all which are either dimes or nickels. The total value of the coins is $4.50. Find the number of each type of coin.

Answer 1

total coins = 55

total value = 4.50

 

The number of coins will add up to 55, so 55-x will be the number of dimes, worth 0.10 each, and x will be the number of nickels, worth 0.05 each.

(55-x)(0.10)+(x)(0.05)=4.50

5.50-0.10x+0.05x=4.50

-0.10x+0.05x=(4.50-5.50)=-1.00

-0.05x=-1.00 then divide both sides by -0.05