Math

QuestionLucy had a prepaid debit card with \$25. After buying ribbon at \$0.21 per yard, she had \$16.18 left. How many yards did she buy?

Studdy Solution

STEP 1

Assumptions1. The initial amount on the debit card is 25.Thepriceoftheribbonis21centsperyard3.Afterthepurchase,theamountleftonthecardis25. The price of the ribbon is21 cents per yard3. After the purchase, the amount left on the card is 16.18

STEP 2

First, we need to find out how much money Lucy spent on the ribbon. We can do this by subtracting the amount left on the card from the initial amount on the card.
Spentamount=InitialamountAmountleftSpent\, amount = Initial\, amount - Amount\, left

STEP 3

Now, plug in the given values for the initial amount and the amount left to calculate the spent amount.
Spentamount=$25$16.18Spent\, amount = \$25 - \$16.18

STEP 4

Calculate the spent amount.
Spentamount=$25$16.18=$8.82Spent\, amount = \$25 - \$16.18 = \$8.82

STEP 5

Now that we have the spent amount, we can find out how many yards of ribbon Lucy bought. This can be done by dividing the spent amount by the price per yard.
Yardsofribbon=Spentamount/PriceperyardYards\, of\, ribbon = Spent\, amount / Price\, per\, yard

STEP 6

Before we can plug in the values, we need to convert the price per yard from cents to dollars.
21cents=$0.2121\, cents = \$0.21

STEP 7

Now, plug in the values for the spent amount and the price per yard to calculate the yards of ribbon.
Yardsofribbon=$.82/$0.21Yards\, of\, ribbon = \$.82 / \$0.21

STEP 8

Calculate the yards of ribbon Lucy bought.
Yardsofribbon=$8.82/$0.21=42yardsYards\, of\, ribbon = \$8.82 / \$0.21 =42\, yardsLucy bought42 yards of ribbon.

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