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?

Question

Mathematics

Yazmin Brady

9 November, 07:21

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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Answers (1)

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Walker Rose · 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