Questions: Ralph is paid twice per month. His work offers a flexible-spending account to be used for medical expenses. This plan allows Ralph to put a specific amount of money from each check into a savings fund so that he can pay for big bills a little at a time. If his son Billy needs new glasses that will cost 1,200, how much should Ralph have taken out of each check so the glasses can be paid for by the end of the year, with nothing left over in the account?
A. 60
B. 50
C. 100
D. 30
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Sclence Sem 1
1.2.8 Quiz: Health Care Cost
Question 1 of 10
Ralph is paid twice per month. His work offers a flexible-spending account to be used for medical expenses. This plan allows Ralph to put a specific amount of money from each check into a savings fund so that he can pay for big bills a little at a time. If his son Billy needs new glasses that will cost $\$ 1,200$, how much should Ralph have taken out of each check so the glasses can be paid for by the end of the year, with nothing left over in the account?
A. $\$ 60$
B. $\$ 50$
C. $\$ 100$
D. $\$ 30$
SUBMIT
Previous
Solution
Solution Steps
Step 1: Determine the number of paychecks in a year
Ralph is paid twice per month. There are 12 months in a year, so the total number of paychecks in a year is:
\[
2 \times 12 = 24 \text{ paychecks}.
\]
Step 2: Calculate the amount to be deducted from each paycheck
The total cost of the glasses is \$1,200. To pay for the glasses by the end of the year with nothing left over, the amount to be deducted from each paycheck is:
\[
\frac{\$1,200}{24} = \$50 \text{ per paycheck}.
\]
Final Answer
The amount Ralph should have taken out of each check is \\(\boxed{\$50}\\). The correct choice is B.