Math Snap

STEP 1

Assumptions1. The cost of the electric heater including tax is \(\)181.25$
. Cynthia gives the sales clerk fifty-dollar bills,7 ten-dollar bills, and12 one-dollar bills3. We need to calculate the change Cynthia should receive

STEP 2

First, we need to calculate the total amount Cynthia gives to the sales clerk. We can do this by adding the value of all the bills she gives.
$$Total\, given = (Number\, of\, fifty-dollar\, bills \\times50) + (Number\, of\, ten-dollar\, bills \\times10) + (Number\, of\, one-dollar\, bills \\times1)$$

STEP 3

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

STEP 4

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

STEP 5

Now that we have the total amount given, we can find the change Cynthia should receive. This can be calculated by subtracting the cost of the heater from the total amount given.
$$Change = Total\, given - Cost\, of\, heater$$

STEP 6

Plug in the values for the total amount given and the cost of the heater to calculate the change.
Change = \($\)200 - \($\)181.25

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