PSLE A bookstore is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Kimberly and Jenson each bought two books at the sale.
- Kimberly's books were priced at $16 and $29. How much more did she pay for the 1st book than the 2nd book?
- Jenson paid a total of $50.40 for his two books. He paid $8.80 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $29 |
100% $16 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 29
=
80100 x 29
= $23.20
Selling price of 2nd book
= 65% x 16
=
65100 x 16
= $10.40
Amount that Kimberly paid more for the 1st book than the 2nd book
= 23.20 - 10.40
= $12.80
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $8.80 |
1 u |
$50.40 |
(b)
Sale price of the 1st book = 1 u + 8.80
Sale price of the 2nd book = 1 u
Total amount that Jenson paid
= 1 u + 8.80 + 1 u
= 2 u + 8.80
2 u + 8.80 = 50.40
2 u = 50.40 - 8.80
2 u = 41.60
1 u = 41.60 ÷ 2 = 20.80
Sale price of the 1st book
= 1 u + 8.80
= $29.60
80% of the price = $29.60
100% of the price =
29.6080 x 100 = $37
Selling price of the 1st book before discount = $37
Answer(s): (a) $12.80; (b) $37