Determine the number of nickels, quarters, and dimes that sally has

Question

Sally has x quarters. She has twice as many nickels as quarters and 3 less dimes than she has quarters. The only money she has in her wallet is nickels, quarters, and dimes. She has a total of $6.45 in her pocket. How many quarters, nickels, and dimes does she have?

Answer 1

25x + 5(2x) + 10(x - 3) = 645

 

25x + 10x + 10x - 30 = 645

45x = 675

x = 15

 

15 quarters, 30 nickles, 12 dimes

Answer 2

X = # quarters

2X = # nickels

X - 3 = # dimes

 

.25X + .05(2X) + .10(X-3) = 6.45

 

25X + 5(2X) + 10(X-3) = 645

25X + 10X + 10X-30 = 645

45X -30 = 645

45X = 675

X = 15

 

There are 15 quarters, 30 nickels and 12 dimes.