SOLUTION: you have a jar of pennies and quarters you want to choose 25 coins that are worth exactly $2.65

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Question 1155470: you have a jar of pennies and quarters you want to choose 25 coins that are worth exactly $2.65
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52804) About Me  (Show Source):
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Solve using logical reasoning and a few simple mental calculations.

The total is 265 cents, which is a multiple of 5. Since the total value of any number of quarters is a multiple of 5, the value of the pennies must be a multiple of 5.

Since the number of pennies is a multiple of 5 and the total number of coins is a multiple of 5, the number of quarters is a multiple of 5.

The total of 265 cents is a bit more than 10 quarters and much less than 15 quarters. So almost certainly the way to get 265 cents is with 10 quarters. So check that for a solution:

10 quarters makes 250 cents; what is left is 15 cents, which is 15 pennies; 10 quarters plus 15 pennies makes 25 coins.

The solution is correct!

ANSWER: 10 quarters and 15 pennies.