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Oscar and Kim have $22.00 each to spend at a book fair, where all students receive a 30% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Oscar takes 30% 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. Kim takes 70% of the normal purchase price and then computes 110% of the reduced price. Is Oscar correct? Is Kim correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.




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Answer:

Both Oscar and Kim will have enough to purchase the book.

Step-by-step explanation:

Oscar takes 30% of the normal price and subtracts it from the normal price. Out of 100% price he takes 30% so the result is: 100-30%= 70% of the normal price. Oscar's first step has the same result as Kim.

Oscar takes 10% of the discounted price (70%) and adds it back. The price will become 70% + 10%*70%= 77% of original price. Kim multiplies the discounted price with 110%, so the price will be: 70% * 110%= 77%. Both also give the same result.

The final price is 77% of the original, it will be: $28.50* 77%= $21.945

Oscar :

28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95

0.10(19.95) + 19.95 = 2 + 19.95 = 21.95

Kim :

0.7(28.50) = 19.95

1.10(19.95) = 21.95

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Answer:

Both Oscar and Kim got the same amount and they both had enough money to buy the book.

Given that,

Oscar and Kim have money to spend at a book fair = $22

Discount for all the students = 30% = 0.30

They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax.

Book normally sells for = $ 28.50 + 10% sales tax

According to the question,

Oscar takes 30% 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.

28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95

0.10(19.95) + 19.95 = 2 + 19.95 = $21.95

Kim takes 70% = 0.7 of the normal purchase price and then computes 110% = 1.10 of the reduced price.

0.7(28.50) = 19.95

1.10(19.95) = $21.95

Hence, Both Oscar and Kim got the same amount and they both had enough money to buy the book.

Step-by-step explanation:

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