PSLE A bookstore is having a book sale.
The 1st book is at 10% 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.
Winnie and Luis each bought two books at the sale.
- Winnie's books were priced at $35 and $38. How much did she pay for them?
- Luis paid a total of $43.10 for his two books. He paid $14.50 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $38 |
100% $35 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 38
=
90100 x 38
= $34.20
Selling price of 2nd book
= 65% x 35
=
65100 x 35
= $22.75
Total amount that Winnie paid
= 34.20 + 22.75
= $56.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $14.50 |
1 u |
$43.10 |
(b)
Sale price of the 1st book = 1 u + 14.50
Sale price of the 2nd book = 1 u
Total amount that Luis paid
= 1 u + 14.50 + 1 u
= 2 u + 14.50
2 u + 14.50 = 43.10
2 u = 43.10 - 14.50
2 u = 28.60
1 u = 28.60 ÷ 2 = 14.30
Sale price of the 2nd book = $14.30
65% of the price = $14.30
100% of the price =
14.3065 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $56.95; (b) $22