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) (Show Source):
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.