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QuestionCynthia buys a heater for \$181.25, pays with 2 \$50, 7 \$10, and 12 \$1 bills. How much change does she get?

Studdy Solution

STEP 1

Assumptions1. The cost of the electric heater including tax is $181.25. Cynthia pays with fifty-dollar bills,7 ten-dollar bills, and12 one-dollar bills3. We need to find the change Cynthia should receive

STEP 2

First, we need to calculate the total amount of money Cynthia gives to the sales clerk. We can do this by multiplying the number of each type of bill by its value and then adding these amounts together.
Total payment=(Number of fifty−dollar billstimes50)+(Number of ten−dollar billstimes10)+(Number of one−dollar billstimes1)Total\, payment = (Number\, of\, fifty-dollar\, bills \\times50) + (Number\, of\, ten-dollar\, bills \\times10) + (Number\, of\, one-dollar\, bills \\times1)

STEP 3

Now, plug in the given values for the number of each type of bill to calculate the total payment.
Total payment=(2times50)+(7times10)+(12times1)Total\, payment = (2 \\times50) + (7 \\times10) + (12 \\times1)

STEP 4

Calculate the total payment amount.
Total payment=(2times50)+(7times10)+(12times1)=$200Total\, payment = (2 \\times50) + (7 \\times10) + (12 \\times1) = \$200

STEP 5

Now that we have the total payment amount, we can subtract the cost of the electric heater from this to find the change Cynthia should receive.
Change=Total payment−Cost of heaterChange = Total\, payment - Cost\, of\, heater

STEP 6

Plug in the values for the total payment and the cost of the heater to calculate the change.
Change=$200−$181.25Change = \$200 - \$181.25

STEP 7

Calculate the change amount.
Change=$200−$181.25=$18.75Change = \$200 - \$181.25 = \$18.75Cynthia should receive $18.75 in change.

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