PSLEMrs Jack bought a sweater and a necklace at a discount. She spent a total of $63.90 on these two items. She spent $34.50 more on the necklace than on the sweater.
- How much did she spend on the necklace?
- The total discount given for the two items was $39.10. She was given a 30% discount for the sweater. What was the percentage discount given for the necklace?
(a)
Amount spent on the sweater = 1 u
Amount spent on the necklace = 1 u + 34.50
Total amount spent on the sweater and the necklace
= 1 u + 1 u + 34.50
= 2 u + 34.50
2 u + 34.50 = 63.90
2 u = 63.90 - 34.50
2 u = 29.40
1 u = 29.40 ÷ 2 = 14.70
Amount that Mrs Jack spent on the necklace
= 14.70 + 34.50
= $49.20
(b)
|
Sweater |
Necklace |
Total |
Original price |
100% |
$82 |
|
Discount |
30% $6.30 |
$32.80 |
$39.10 |
Discounted price |
70% $14.70 |
$49.20 |
$63.90 |
Discounted price of the sweater
= 100% - 30%
= 70%
70% of the price of the sweater = 14.70
1% of the price of the sweater = 14.70 ÷ 70
30% of the price of the sweater = 14.70 ÷ 70 x 30 = 6.30
Discount given for the necklace
= 39.10 - 6.30
= $32.80
Original price of the necklace
= 49.20 + 32.80
= $82
Percentage discount of the necklace
=
32.8082 x 100%
= 40%
Answer(s): (a) $49.20; (b) 40%