PSLE A bookstore is having a book sale.
The 1st book is at 15% 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.
Lucy and Flynn each bought two books at the sale.
- Lucy's books were priced at $6 and $21. How much did she pay for them?
- Flynn paid a total of $44.55 for his two books. He paid $8.15 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% $21 |
100% $6 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 21
=
85100 x 21
= $17.85
Selling price of 2nd book
= 65% x 6
=
65100 x 6
= $3.90
Total amount that Lucy paid
= 17.85 + 3.90
= $21.75
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $8.15 |
1 u |
$44.55 |
(b)
Sale price of the 1st book = 1 u + 8.15
Sale price of the 2nd book = 1 u
Total amount that Flynn paid
= 1 u + 8.15 + 1 u
= 2 u + 8.15
2 u + 8.15 = 44.55
2 u = 44.55 - 8.15
2 u = 36.40
1 u = 36.40 ÷ 2 = 18.20
Sale price of the 2nd book = $18.20
65% of the price = $18.20
100% of the price =
18.2065 x 100 = $28
Selling price of the 2nd book before discount = $28
Answer(s): (a) $21.75; (b) $28