A customer wants to buy two pairs of jeans at $30 each. The sales tax is 6%. He has a gift certificate for $50 and a $20 bill in his wallet. Which of the following singular answers represents the correct amount of change the customer should receive?
A.
One $5 bill, one $1 bill, 1 quarter, and 1 dime
B.
One $5 bill, one $1 bill, and 4 dimes
C.
Two $5 bills
D.
One $10 bill, three $1 bills, 2 quarters, and 1 dime
To calculate the amount of change the customer should receive, we need to determine the total cost of the two pairs of jeans and then subtract the value of the gift certificate and the $20 bill from it. Then, we calculate 6% of the remaining amount to find the sales tax. Finally, we subtract the sales tax from the remaining amount to determine the change.
The total cost of two pairs of jeans at $30 each is: 2 * $30 = $60.
We subtract the value of the gift certificate and the $20 bill from the total cost of the jeans: $60 - $50 - $20 = $-10.
Since the resulting amount is negative, it means that the customer has already paid more than the cost of the jeans, so there is no change to be given.
Therefore, none of the given singular answers represents the correct amount of change the customer should receive.
To determine the correct answer, we need to calculate the total cost of the two pairs of jeans, including sales tax, and then subtract the total value of the gift certificate and the cash the customer has.
The cost of two pairs of jeans at $30 each is:
2 x $30 = $60
The sales tax is 6% of $60:
6% of $60 = 0.06 x $60 = $3.60
So, the total amount the customer needs to pay, including sales tax, is:
$60 + $3.60 = $63.60
Next, we need to subtract the total value of the gift certificate and the cash the customer has:
Gift certificate: $50
Cash in the wallet: $20
Total value of gift certificate and cash: $50 + $20 = $70
Now, to find the correct amount of change, we need to subtract the total amount paid by the customer from the total value of the gift certificate and cash:
$70 - $63.60 = $6.40
Therefore, the correct amount of change the customer should receive is $6.40.
Looking at the answer choices, option A, B, C, and D, we see that only option B represents the correct amount of change:
One $5 bill, one $1 bill, and 4 dimes.
So, the correct answer is B.
To find the correct amount of change the customer should receive, we need to calculate the total cost of the jeans, subtract the gift certificate and the cash payment, and then add the sales tax.
The total cost of two pairs of jeans at $30 each is $30 x 2 = $<<30*2=60>>60.
The sales tax on $60 at a rate of 6% is $60 x 0.06 = $<<60*0.06=3.6>>3.6.
Adding the sales tax, the total cost of the jeans is $60 + $3.6 = $<<60+3.6=63.6>>63.6.
Subtracting the gift certificate and the cash payment, the amount of change the customer should receive is $63.6 - $50 - $20 = $<<63.6-50-20=<<63.6-50-20=<<63.6-50-20=<<63.6-50-20=<<63.6-50-20=-6.4=-6.4=-6.4=-6.4=-6.4>>-6.4>>-6.4>>-6.4>>-6.4>>-6.4>>-6.4>>-6.4>>6.4>>6.4>>3.6>>6.4>>6.4>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6>>13.6