A gas pump machine rejects 10% of credit card transactions. If this is twice the normal rejection rate for a normal gas pump, how many out of 650 credit cards transactions would a normal gas pump machine reject?
a normal pump would reject 5%, right?
.05 * 650 = ____
To find out how many credit card transactions a normal gas pump machine would reject, we first need to determine the normal rejection rate.
Let's assume that x represents the normal rejection rate for a regular gas pump machine. According to the problem, the rejection rate for the given gas pump machine is twice the normal rejection rate. Therefore, the rejection rate for the given gas pump machine is 2x.
We know that the given gas pump machine rejects 10% of credit card transactions. So, we can write the following equation:
2x = 10/100
To solve for x, we divide both sides of the equation by 2:
x = (10/100) / 2
x = 0.05/2
x = 0.025
Now that we know the normal rejection rate (x), we can calculate how many credit card transactions a normal gas pump machine would reject out of 650 transactions.
Rejected Transactions = x * Total Transactions
Rejected Transactions = 0.025 * 650
Rejected Transactions = 16.25
Therefore, a normal gas pump machine would reject approximately 16 credit card transactions out of 650.