SOLUTION: mia has a bag full of $0.10 and $0.25 coins in how many differebt ways can she pay for a drink that costs $1.50?

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Question 1102712: mia has a bag full of $0.10 and $0.25 coins in how many differebt ways can she pay for a drink that costs $1.50?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.
N       Dimes      Quarters

1     15 dimes    0 quarters

2     10 dimes    2 quarters

3      5 dimes    4 quarters

4      0 dimes    6 quarters


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Answer by greenestamps(13334) About Me  (Show Source):
You can put this solution on YOUR website!


The total you want to make is $1.50, which is a multiple of 10 cents.
Each dime is 10 cents; but each quarter is 25 cents.
To use quarters to get a total that is a multiple of 10 cents, you need an even number of quarters.

So you can make the total of $1.50 any time the number of quarters is even.

You can of course use 0 quarters and make the whole $1.50 using dimes.
And $1.50 is 6 quarters, so 6 is the largest number of quarters you can use to make a total of $1.50.

So the number of quarters you can use to make $1.50 is any even number from 0 to 6 -- i.e., 0, 2, 4, or 6.

So there are four different ways Mia can pay for the $1.50 drink with quarters and dimes.