PSLE A bookstore is having a book sale.
The 1st book is at 5% 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.
Tiffany and Fabian each bought two books at the sale.
- Tiffany's books were priced at $32 and $37. How much did she pay for them?
- Fabian paid a total of $51.95 for his two books. He paid $18.35 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $37 |
100% $32 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 37
=
95100 x 37
= $35.15
Selling price of 2nd book
= 60% x 32
=
60100 x 32
= $19.20
Total amount that Tiffany paid
= 35.15 + 19.20
= $54.35
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $18.35 |
1 u |
$51.95 |
(b)
Sale price of the 1st book = 1 u + 18.35
Sale price of the 2nd book = 1 u
Total amount that Fabian paid
= 1 u + 18.35 + 1 u
= 2 u + 18.35
2 u + 18.35 = 51.95
2 u = 51.95 - 18.35
2 u = 33.60
1 u = 33.60 ÷ 2 = 16.80
Sale price of the 2nd book = $16.80
60% of the price = $16.80
100% of the price =
16.8060 x 100 = $28
Selling price of the 2nd book before discount = $28
Answer(s): (a) $54.35; (b) $28