From a pile of 100 pennies (P), 100 nickels (N), and 100 dimes (D), select 21 coins which have a total value of exactly $1.00. In your selection you must also use at least one coin of each type. How many coins of each of the three types (P, N, D) should be selected?

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Mathematics

15 February, 22:56

From a pile of 100 pennies (P), 100 nickels (N), and 100 dimes (D), select 21 coins which have a total value of exactly $1.00. In your selection you must also use at least one coin of each type. How many coins of each of the three types (P, N, D) should be selected?

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Harley Griffin · Answer 1

So, you need 10 penny, 4 nickles and 7 dimes

Lets, check it.

According to the question,

total coins = 21

7 + 4 + 10 = 21

21 = 21 ... true

Now,

their value should equal $1.00 = 100 cents

Penny = 1 cent

nickle = 5 cent

dime = 10 cent,

So,

(10 * 1) + (4 * 5) + (7 * 10) = 100

10 + 20 + 70 = 100

100 = 100 ... true

So, you need 10 penny, 4 nickle, and 7 dimes