SOLUTION: Mathew went to the store and sked for change for a $10.00 bill. He got a handful of nickels, dimes, quarters and dollar bills. He got twice as many quarters as dimes.He got one mor
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Question 520253: Mathew went to the store and sked for change for a $10.00 bill. He got a handful of nickels, dimes, quarters and dollar bills. He got twice as many quarters as dimes.He got one more nickel than dimes. He got two more dollars than quarters.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let n = no. of nickels
Let d = no. of dimes
Let q = no. of quarters
let b = no. dollar bills
:
Write an equation for each statement:
:
"Mathew went to the store and sked for change for a $10.00 bill.
He got a handful of nickels, dimes, quarters and dollar bills."
.05n + .10d + .25q + 1b = 10.00
;
" He got twice as many quarters as dimes.
q = 2d
:
"He got one more nickel than dimes."
n = (d+1)
:
"He got two more dollars than quarters."
b = (q+2)
We want each variable in terms of d, replace q with 2d
b = (2d+2)
:
.05n + .10d + .25q + 1b = 10.00
replace n, q, b
.05(d+1) + .10d + .25(2d) + (2d+2) = 10.00
.05d + .05 + .10d + .50d + 2d + 2 = 10.00
combine like terms
2.65d + 2.05 = 100
2.65d = 10.00 - 2.05
2.65d = 7.95
d =
d = 3 dimes
;
I'll let you find the no. of the other coins. check the total that it = $10
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