PSLE A store 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.
Opal and Xavier each bought two books at the sale.
- Opal's books were priced at $18 and $19. How much did she pay for them?
- Xavier paid a total of $37.25 for his two books. He paid $8.65 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% $19 |
100% $18 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 19
=
85100 x 19
= $16.15
Selling price of 2nd book
= 65% x 18
=
65100 x 18
= $11.70
Total amount that Opal paid
= 16.15 + 11.70
= $27.85
|
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 + $8.65 |
1 u |
$37.25 |
(b)
Sale price of the 1st book = 1 u + 8.65
Sale price of the 2nd book = 1 u
Total amount that Xavier paid
= 1 u + 8.65 + 1 u
= 2 u + 8.65
2 u + 8.65 = 37.25
2 u = 37.25 - 8.65
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) $27.85; (b) $22