Part One: Alex is correct in applying a 35% discount to the normal price of $28.50 to find the discounted selling price. However, he made an error by taking 10% of the discounted selling price instead of adding back 10% of it. Lara is correct in taking 65% (100% minus 35%) of the normal purchase price to find the reduced price. However, she made a mistake by computing 110% of the reduced price instead of 100% of it.
Part Two: To determine if they have enough money to purchase the book, let's calculate the purchase amount for each of them:
Alex's Method:
Discounted selling price = $28.50 - (35% of $28.50)
Discounted selling price = $28.50 - ($9.98)
Discounted selling price = $18.52
Purchase amount with tax = $18.52 + (10% of $18.52)
Purchase amount with tax = $18.52 + ($1.85)
Purchase amount with tax = $20.37
Lara's Method:
Reduced price = 65% of $28.50
Reduced price = $18.52
Purchase amount with tax = $18.52 + (110% of $18.52)
Purchase amount with tax = $18.52 + ($20.37)
Purchase amount with tax = $38.89
Based on the above calculations, Alex would have a purchase amount with tax of $20.37 and Lara would have a purchase amount with tax of $38.89. Since both Alex and Lara have $21.00 to spend, they do not have enough money to purchase the book.
Alex and Lara have $21.00 each to spend at a book fair, where all students receive a 35% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax.
Alex's Method:
Alex takes 35% of $28.50 and subtracts that amount from the normal price.
He takes 10% of the discounted selling price and adds it back to find the purchase amount.
Lara's Method
Lara takes 65% of the normal purchase price and then computes 110% of the reduced price.
Part One: Is Alex correct? Is Lara correct? Are they both correct?
Part Two: Do they have enough money to purchase the book? Explain your answer using complete sentences and show your work.
Make it less AI like and more 7th grader like please.
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