PSLEMrs Lee bought a vest and a necklace at a discount. She spent a total of $79.10 on these two items. She spent $34.30 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 $33.90. She was given a 30% 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 + 34.30
Total amount spent on the vest and the necklace
= 1 u + 1 u + 34.30
= 2 u + 34.30
2 u + 34.30 = 79.10
2 u = 79.10 - 34.30
2 u = 44.80
1 u = 44.80 ÷ 2 = 22.40
Amount that Mrs Lee spent on the necklace
= 22.40 + 34.30
= $56.70
(b)
|
Vest |
Necklace |
Total |
Original price |
100% |
$81 |
|
Discount |
30% $9.60 |
$24.30 |
$33.90 |
Discounted price |
70% $22.40 |
$56.70 |
$79.10 |
Discounted price of the vest
= 100% - 30%
= 70%
70% of the price of the vest = 22.40
1% of the price of the vest = 22.40 ÷ 70
30% of the price of the vest = 22.40 ÷ 70 x 30 = 9.60
Discount given for the necklace
= 33.90 - 9.60
= $24.30
Original price of the necklace
= 56.70 + 24.30
= $81
Percentage discount of the necklace
=
24.3081 x 100%
= 30%
Answer(s): (a) $56.70; (b) 30%