fiona bought 50 vinyl records in a flash sale for $200. she then offered each record for sale at a spring…
fiona bought 50 vinyl records in a flash sale for $200. she then offered each record for sale at a spring vintage market with a premium of $8. the unsold records were given to charity for free. if fiona remained with a profit of $400, how many records did she sell?\n35\n40\n45\n50\n55
Answer
Explanation:
Step1: Calculate cost per record
The cost of 50 records is $200, so the cost per record is $\frac{200}{50}=4$ dollars.
Step2: Set up profit - equation
Let the number of records sold be $x$. The selling price per record is $4 + 8=12$ dollars. The total cost is $200$ dollars and the profit is $400$ dollars. So the equation is $12x-200 = 400$.
Step3: Solve the equation for $x$
Add 200 to both sides of the equation: $12x=400 + 200=600$. Then divide both sides by 12: $x=\frac{600}{12}=50$.
Answer:
50