On Tuesday, Clara bought 20 pomegranates at 20 each. At the till she got 2 off because she had a voucher. The next day, the price shot to $30 per fruit, but the store also offered a 10% discount on the total cost. Sheila took advantage of the discount and bought 20 pomegranates. What is the difference between the final prices paid for the pomegranates on the two days?
Get the complete, step-by-step math solution for: "On Tuesday, Clara bought 20 pomegranates at 20 each. At the till she got 2 off because she had a voucher. The next day, the price shot to 30 per fruit...". Powered by SolveForX AI math tutor.
Step-by-Step Solution
Step 1: Calculate Clara's cost before discount
To find the initial cost for Clara, we multiply the number of pomegranates she bought by the price of each pomegranate. Clara bought 20 pomegranates at $20 each.
Step 2: Calculate Clara's final cost
Clara had a voucher that gave her a $2 discount. We subtract this discount from her initial cost to find the final amount she paid.
Step 3: Calculate Sheila's cost before discount
For Sheila, we first calculate the total cost of her pomegranates before any discount. She also bought 20 pomegranates, but the price had increased to $30 each.
Step 4: Calculate Sheila's discount amount
Sheila received a 10% discount on the total cost. We calculate the amount of this discount by taking 10% of her cost before the discount.
Step 5: Calculate Sheila's final cost
To find Sheila's final cost, we subtract the calculated discount amount from her total cost before the discount.
Step 6: Calculate the difference in prices paid
Finally, we find the absolute difference between the final prices paid by Sheila and Clara to answer the question.