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QuestionCarmen had \$ 20 on her card, bought ribbon at \$ 0.21 per yard, and had \$ 13.07 left. How many yards did she buy?

Studdy Solution

STEP 1

Assumptions1. The initial amount on the debit card is 20.Thepriceoftheribbonis21centsperyard3.Afterthepurchase,theamountleftonthecardis20. The price of the ribbon is21 cents per yard3. After the purchase, the amount left on the card is 13.074. Carmen bought only ribbon with the card

STEP 2

First, we need to find out how much Carmen spent on the ribbon. We can do this by subtracting the amount left on the card from the initial amount.
Spent amount=Initial amount−Amount leftSpent\, 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.
Spent amount=$20−$13.07Spent\, amount = \$20 - \$13.07

STEP 4

Calculate the spent amount.
Spent amount=$20−$13.07=$6.93Spent\, amount = \$20 - \$13.07 = \$6.93

STEP 5

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

STEP 6

The price per yard is given in cents, so we need to convert it to dollars to match the spent amount.21 cents=$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.
Yards of ribbon=$6.93/$0.21Yards\, of\, ribbon = \$6.93 / \$0.21

STEP 8

Calculate the yards of ribbon Carmen bought.
Yards of ribbon=$6.93/$0.21=33Yards\, of\, ribbon = \$6.93 / \$0.21 =33Carmen bought33 yards of ribbon.

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