Question

11.) Sam has a total of 45 dimes and nickels. The number of dimes she has is 3 more than twice the number of nickels. How many of each coins does she have? How much money does she have altogether? ​

Answer 1

Number of nickels: 14

Number of dimes: 31

Total money: $3.80

Explanation:

Let number of nickels be x

Number of dimes is 2x+3

Total coins = 45

So add the number of nickels and dimes and it equals 45

x+2x+3=45

3x=45-3=42

x=42/3=14 nickels

Substitute the value of x=14 in 2x+3 to find number of dimes

2(14)+3=28+3=31 dimes

Total money is 14 nickels + 31 dimes

Nickels = 0.05 and dimes is 0.10

14(0.05)+31(0.10)=0.7+3.1=3.8