muriel has kept track of her income and expenses for the week in the spreadsheet below. how much was muriels…

muriel has kept track of her income and expenses for the week in the spreadsheet below. how much was muriels restaurant bill?\n| | a | b | c |\n|----|----|----|----|----|\n| 1 | transaction | amount | total |\n| 2 | beginning balance | | $380.29 |\n| 3 | interest income | $18.10 | |\n| 4 | groceries | -$61.39 | |\n| 5 | restaurant bill | | |\n| 6 | paycheck | $476.24 | |\n| 7 | gas | -$35.00 | |\n| 8 | ending balance | | $735.69 |\n a. $17.66\n b. $42.55\n c. $6.35\n d. $112.55
Answer
Explanation:
Step1: Let the restaurant bill be $x$.
Let the restaurant - bill amount be $x$. The initial balance is $380.29$, interest income is $18.10$, groceries expense is $61.39$, paycheck is $476.24$, gas expense is $35.00$, and ending balance is $735.69$.
Step2: Set up the equation.
The equation for the balance is: $380.29 + 18.10-61.39 - x+476.24 - 35.00=735.69$.
Step3: Simplify the left - hand side of the equation.
First, combine the non - $x$ terms: $(380.29 + 18.10+476.24)-(61.39 + 35.00)-x=735.69$. $874.63 - 96.39-x=735.69$. $778.24 - x=735.69$.
Step4: Solve for $x$.
Add $x$ to both sides: $778.24=735.69 + x$. Subtract $735.69$ from both sides: $x=778.24 - 735.69$. $x = 42.55$.
Answer:
b. $$42.55$