Ashley has some pennies and some nickels. She has at most 22 coins worth a minimum of $0.78 combined. If Ashley has 4 pennies, determine the minimum number of nickels that she could have. If there are no possible solutions, submit an empty answer.

The minimum number of nickels that she could have is 15

Step-by-step explanation:

Let x represent the number of nickels Ashley has. If she has 4 pennies and has at most 22 coins, then

→ x + 4 < = 22

→ x < = 18 (1)

Her coins worth a minimum $0.78. Also, it is known that 1 dollar is equal to 100 cents and 1 nickel is equal to 5 cents.

→ (x * 5) + 4 > = 78

→ 5x > = 74

→ x > = 14.8 (2)

If we combine the equation 1 and 2:

14.8 < = x < = 18

The minimum value of x is 15

18 nickels

Step-by-step explanation:

4 pennies = $0.04. 22 coins minus the 4 pennies = 18. So, 18 nickels is equal to $0.90. Because she has at most 22 coins and they're worth at least $0.78 then $0.94 would make since.