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 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 find the total cost of the two pairs of jeans, we multiply the price of each pair ($30) by the number of pairs (2): 30 * 2 = $<<30*2=60>>60.
To find the amount of sales tax, we multiply the total cost of the jeans ($60) by the sales tax rate (6% or 0.06): 60 * 0.06 = $<<60*0.06=3.6>>3.6.
To find the total amount the customer needs to pay, we add the total cost of the jeans ($60) and the sales tax ($3.6): 60 + 3.6 = $<<60+3.6=63.6>>63.6.
To find the amount of change the customer should receive, we subtract the total amount he can pay with his gift certificate and cash from the total cost: 63.6 - 50 - 20 = $<<63.6-50-20=-6.4>>-6.4.
The correct answer is none of the above, as the customer should not receive change since he does not have enough money to purchase the items.
To calculate the correct amount of change the customer should receive, we need to determine the total cost of two pairs of jeans and subtract the gift certificate and the cash payment from it.
The cost of two pairs of jeans at $30 each is $30 * 2 = $<<30*2=60>>60.
The sales tax is 6% of $60, which is $60 * 6% = $<<60*6*.01=3.60>>3.60.
Therefore, the total cost including sales tax is $60 + $3.60 = $<<60+3.60=63.60>>63.60.
Now, subtracting the gift certificate of $50 from the total cost, we have $63.60 - $50 = $<<63.60-50=13.60>>13.60 remaining.
Subtracting the $20 bill from the remaining amount, we have $13.60 - $20 = $<<13.60-20=-6.40>>-6.40.
Since the remaining amount is negative, it means the customer has overpaid. Thus, the customer should receive no change.
Therefore, the correct answer is none of the listed options
To determine the correct amount of change the customer should receive, we need to calculate the total cost of the two pairs of jeans and subtract it from the total value of his gift certificate and cash. Here's how we can do that:
The cost of two pairs of jeans at $30 each is:
2 x $30 = $60
Next, we need to calculate the sales tax. The sales tax is 6% of the total cost of the jeans. To find the sales tax, we can multiply the total cost by 6% (or 0.06):
$60 x 0.06 = $3.60
Now, we can find the total amount the customer needs to pay, including the sales tax:
Total amount = $60 + $3.60 = $63.60
Given that the customer has a $50 gift certificate and a $20 bill, we can add them together to find the total amount of money the customer has:
Total money = $50 + $20 = $70
To calculate the change, we need to subtract the total amount from the total money:
Change = Total money - Total amount = $70 - $63.60 = $6.40
Now that we know the change is $6.40, let's check which of the given options represents the correct amount of change:
A) One $5 bill, one $1 bill, 1 quarter, and 1 dime:
$5 + $1 + $0.25 + $0.10 = $6.35 (not the correct amount)
B) One $5 bill, one $1 bill, and 4 dimes:
$5 + $1 + ($0.10 x 4) = $5 + $1 + $0.40 = $6.40 (the correct amount!)
C) Two $5 bills:
$5 x 2 = $10 (not the correct amount)
D) One $10 bill, three $1 bills, 2 quarters, and 1 dime:
$10 + ($1 x 3) + ($0.25 x 2) + $0.10 = $10 + $3 + $0.50 + $0.10 = $13.60 (not the correct amount)
Thus, the correct answer is B. The customer should receive one $5 bill, one $1 bill, and four dimes as change.