Question

Consider the information in the previous questions (Henry only has quarters, nickels, dimes and pennies). Is it mathematically possible for Henry to have exactly 23 pennies if he has a total of $2.41? Defend your conclusion with an equation for the sum of the coins and two or more complete sentences explaining your conclusion.

Answer 1

• No

Explanation:

The total amount is $2.41.

If the are 23 pennies, then the amount excluding the pennies is:

• $2.41 - $0.23 = $2.18

This amount comprises quarters, nickels and dimes.

Each of them is multiple of 5:

• Quarter = $0.25
• Nickel = $0.05
• Dime = $0.10

Any amount made by the combinations of these has to be multiple of 5 cents. But the sum is $2.18, which is not multiple of 5 cents.

It means Henry can't make it.