PSLEMrs Ian bought a vest and a necklace at a discount. She spent a total of $55.20 on these two items. She spent $8.40 more on the necklace than on the vest.
- How much did she spend on the necklace?
- The total discount given for the two items was $36.80. She was given a 40% discount for the vest. What was the percentage discount given for the necklace?
(a)
Amount spent on the vest = 1 u
Amount spent on the necklace = 1 u + 8.40
Total amount spent on the vest and the necklace
= 1 u + 1 u + 8.40
= 2 u + 8.40
2 u + 8.40 = 55.20
2 u = 55.20 - 8.40
2 u = 46.80
1 u = 46.80 ÷ 2 = 23.40
Amount that Mrs Ian spent on the necklace
= 23.40 + 8.40
= $31.80
(b)
|
Vest |
Necklace |
Total |
Original price |
100% |
$53 |
|
Discount |
40% $15.60 |
$21.20 |
$36.80 |
Discounted price |
60% $23.40 |
$31.80 |
$55.20 |
Discounted price of the vest
= 100% - 40%
= 60%
60% of the price of the vest = 23.40
1% of the price of the vest = 23.40 ÷ 60
40% of the price of the vest = 23.40 ÷ 60 x 40 = 15.60
Discount given for the necklace
= 36.80 - 15.60
= $21.20
Original price of the necklace
= 31.80 + 21.20
= $53
Percentage discount of the necklace
=
21.2053 x 100%
= 40%
Answer(s): (a) $31.80; (b) 40%