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?
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! 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
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