Question 312036
Araceli goes to the bank to get $10 worth of change. She requests twice as many
quarters as half-dollars, twice as many dimes as quarters, three times as many nickels as dimes, and no pennies or dollars. What is the total number of dimes and nickels?
.
Let x = number of half-dollars
then
2x = number of quarters
2(2x) = 4x = number of dimes
3(2(2x)) = 12x = number of nickels
.
.50x + .25(2x) +.10(4x) + .05(12x) = 10
.5x + .5x + .4x + .6x = 10
2x = 10
x = 5 (number of half-dollars)
.
dimes:
4x = 4(5) = 20 dimes
.
nickels:
12x = 12(5) = 60 nickels
.
total number of dimes and nickels = 20+60 = 80