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.
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.