PSLEMrs Valen bought a vest and a necklace at a discount. She spent a total of $72.10 on these two items. She spent $42.70 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 $30.90. 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 + 42.70
Total amount spent on the vest and the necklace
= 1 u + 1 u + 42.70
= 2 u + 42.70
2 u + 42.70 = 72.10
2 u = 72.10 - 42.70
2 u = 29.40
1 u = 29.40 ÷ 2 = 14.70
Amount that Mrs Valen spent on the necklace
= 14.70 + 42.70
= $57.40
(b)
|
Vest |
Necklace |
Total |
Original price |
100% |
$82 |
|
Discount |
30% $6.30 |
$24.60 |
$30.90 |
Discounted price |
70% $14.70 |
$57.40 |
$72.10 |
Discounted price of the vest
= 100% - 30%
= 70%
70% of the price of the vest = 14.70
1% of the price of the vest = 14.70 ÷ 70
30% of the price of the vest = 14.70 ÷ 70 x 30 = 6.30
Discount given for the necklace
= 30.90 - 6.30
= $24.60
Original price of the necklace
= 57.40 + 24.60
= $82
Percentage discount of the necklace
=
24.6082 x 100%
= 30%
Answer(s): (a) $57.40; (b) 30%