PSLEMrs Valen bought a blazer and a necklace at a discount. She spent a total of $60.40 on these two items. She spent $33.40 more on the necklace than on the blazer.
- How much did she spend on the necklace?
- The total discount given for the two items was $21.60. She was given a 10% discount for the blazer. What was the percentage discount given for the necklace?
(a)
Amount spent on the blazer = 1 u
Amount spent on the necklace = 1 u + 33.40
Total amount spent on the blazer and the necklace
= 1 u + 1 u + 33.40
= 2 u + 33.40
2 u + 33.40 = 60.40
2 u = 60.40 - 33.40
2 u = 27.00
1 u = 27.00 ÷ 2 = 13.50
Amount that Mrs Valen spent on the necklace
= 13.50 + 33.40
= $46.90
(b)
|
Blazer |
Necklace |
Total |
Original price |
100% |
$67 |
|
Discount |
10% $1.50 |
$20.10 |
$21.60 |
Discounted price |
90% $13.50 |
$46.90 |
$60.40 |
Discounted price of the blazer
= 100% - 10%
= 90%
90% of the price of the blazer = 13.50
1% of the price of the blazer = 13.50 ÷ 90
10% of the price of the blazer = 13.50 ÷ 90 x 10 = 1.50
Discount given for the necklace
= 21.60 - 1.50
= $20.10
Original price of the necklace
= 46.90 + 20.10
= $67
Percentage discount of the necklace
=
20.1067 x 100%
= 30%
Answer(s): (a) $46.90; (b) 30%