Question

Lucy has some pennies and some nickels. She has a maximum of 15 coins worth a minimum of $0.47combined.If lucky has 6.999999999999999 nickels, determine all possible values for the number of pennies that she could have.

Answer 1

Explanation:

The worth of a penny is 1 cent = 1/100 = $0.01

The worth of a nickel is 5 cents = 5/100 = $0.05

Let x represent the number of pennies that she could have. Lucy has some pennies and some nickels. She has a maximum of 15 coins. If lucky has 6.999999999999999, it means that

6.999999999999999 + x ≥ 15

x ≥ 15 - 6.999999999999999

x ≥ 8

If the 15 coins worth a minimum of $0.47combined, it means that

0.05(6.999999999999999) + 0.01x ≤ 0.47

0.35 + 0.01x ≤ 0.47

0.01x ≤ 0.47 - 0.35

0.01x ≤ 0.12

x ≤ 0.12/0.01

x ≤ 12

Therefore, the possible values for the number of pennies that she could have is 8 ≤ x ≤ 12