PSLE A bookstore is having a book sale.
The 1st book is at 5% 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.
Hilda and Asher each bought two books at the sale.
- Hilda's books were priced at $15 and $17. How much did she pay for them?
- Asher paid a total of $45.40 for his two books. He paid $11.60 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% $17 |
100% $15 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 17
=
95100 x 17
= $16.15
Selling price of 2nd book
= 65% x 15
=
65100 x 15
= $9.75
Total amount that Hilda paid
= 16.15 + 9.75
= $25.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $11.60 |
1 u |
$45.40 |
(b)
Sale price of the 1st book = 1 u + 11.60
Sale price of the 2nd book = 1 u
Total amount that Asher paid
= 1 u + 11.60 + 1 u
= 2 u + 11.60
2 u + 11.60 = 45.40
2 u = 45.40 - 11.60
2 u = 33.80
1 u = 33.80 ÷ 2 = 16.90
Sale price of the 2nd book = $16.90
65% of the price = $16.90
100% of the price =
16.9065 x 100 = $26
Selling price of the 2nd book before discount = $26
Answer(s): (a) $25.90; (b) $26