Asked by Miranda

In Vanessa's coin bank there are 4 times as many quarters as nickels, 2 fewer dimes than nickels, and 15 pennies. The total amount in the bank is $5.80. How many of each coin are in the bank?

A. Assign a variable to the unknown quantity.
B. Write an equation you can use to find the unknown quantity.
C. Solve and check the equation you wrote. Show your work.
Answered by Reiny
nickels --- x
quarters -- 4x
dimes ----- x-2

5x + 25(4x) + 10(x-2) + 15 = 580

solve for x, then sub back into my definitions
Answered by Miranda
Using that equation it comes up to $5.70 not $5.80..?
Answered by Reiny
In that case your question is flawed.
since x must come out to a whole number ....

5x + 25(4x) + 10(x-2) + 15 = 580
5x + 100x + 10x - 20 + 15 = 580
115x = 585
x = 5.08...

so there is no solution.

Check your typing
Answered by Miranda
Thanks. Typing is correct .. Question is flawed. Will let teacher know. Appreciate your help!
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