PSLE A bookstore is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Pamela and Caden each bought two books at the sale.
- Pamela's books were priced at $14 and $22. How much more did she pay for the 1st book than the 2nd book?
- Caden paid a total of $32.15 for his two books. He paid $6.95 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% $22 |
100% $14 |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85% |
60% |
? |
(a)
Selling price of the 1st book
= 85% x 22
=
85100 x 22
= $18.70
Selling price of 2nd book
= 60% x 14
=
60100 x 14
= $8.40
Amount that Pamela paid more for the 1st book than the 2nd book
= 18.70 - 8.40
= $10.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 40% |
|
Sale price |
85%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $6.95 |
1 u |
$32.15 |
(b)
Sale price of the 1st book = 1 u + 6.95
Sale price of the 2nd book = 1 u
Total amount that Caden paid
= 1 u + 6.95 + 1 u
= 2 u + 6.95
2 u + 6.95 = 32.15
2 u = 32.15 - 6.95
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 1st book
= 1 u + 6.95
= $19.55
85% of the price = $19.55
100% of the price =
19.5585 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $10.30; (b) $23