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Video: Word Problems Involving Pennies, Nickels, Dimes, Quarters, and Dollars

Kathryn Kingham

Hannah used 2 quarters and a dime to buy a bag of candy that cost 52 cents. Find the change she received. [A] 3 nickels and 1 penny [B] 3 dimes and 2 pennies [C] 1 nickel and 3 pennies [D] 5 nickels and 2 pennies [E] 3 dimes and 1 nickel.

02:54

Video Transcript

Hannah used two quarters and a dime to buy a bag of candy that cost 52 cents. Find the change she received.

The change Hannah received is the amount Hannah paid minus the cost of the candy. And that gives us the change that she received. So let’s fill in each of these pieces of information. First step, the amount Hannah paid.

Hannah paid two quarters and one dime. And the cost of the candy was 52 cents. Before we can move on, we need to add up the two quarters and the dime. We know that quarters are worth 25 cents. And Hannah had two of them. Two times 25 cents equals 50 cents. We also know that a dime is worth 10 cents. Hannah only paid one dime. One times 10 cents equals 10 cents. If we add 50 cents plus 10 cents, 10 plus 50 equals 60, 60 cents. Hannah paid 60 cents.

Bring down the subtraction symbol. Bring down the 52 cents that the candy cost. 60 cents minus 52 cents equals the change she received. 60 minus 52 equals eight. I know this because eight plus 52 would be equal to 60.

We now know that Hannah received eight cents as her change. But what coins would be equal to eight cents? If we had eight pennies, that would be equal to eight cents. Do we have an answer choice that says eight pennies? No, we don’t. So we need another combination.

One nickel is five cents. And if we add three pennies to our one nickel, that will be equal to eight cents. You could have one nickel and three pennies to equal eight cents. Do we have an answer choice that says one nickel and three pennies? We do. The change Hannah received is one nickel and three pennies.