PSLE A bookstore is having a book sale.
The 1st book is at 25% 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.
Jen and Cole each bought two books at the sale.
- Jen's books were priced at $23 and $31. How much did she pay for them?
- Cole paid a total of $41.45 for his two books. He paid $5.05 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% $31 |
100% $23 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 31
=
75100 x 31
= $23.25
Selling price of 2nd book
= 65% x 23
=
65100 x 23
= $14.95
Total amount that Jen paid
= 23.25 + 14.95
= $38.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $5.05 |
1 u |
$41.45 |
(b)
Sale price of the 1st book = 1 u + 5.05
Sale price of the 2nd book = 1 u
Total amount that Cole paid
= 1 u + 5.05 + 1 u
= 2 u + 5.05
2 u + 5.05 = 41.45
2 u = 41.45 - 5.05
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) $38.20; (b) $28