PSLEMrs Fred bought a sweater and a necklace at a discount. She spent a total of $75.90 on these two items. She spent $41.10 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 $18.10. She was given a 40% 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 + 41.10
Total amount spent on the sweater and the necklace
= 1 u + 1 u + 41.10
= 2 u + 41.10
2 u + 41.10 = 75.90
2 u = 75.90 - 41.10
2 u = 34.80
1 u = 34.80 ÷ 2 = 17.40
Amount that Mrs Fred spent on the necklace
= 17.40 + 41.10
= $58.50
(b)
|
Sweater |
Necklace |
Total |
Original price |
100% |
$65 |
|
Discount |
40% $11.60 |
$6.50 |
$18.10 |
Discounted price |
60% $17.40 |
$58.50 |
$75.90 |
Discounted price of the sweater
= 100% - 40%
= 60%
60% of the price of the sweater = 17.40
1% of the price of the sweater = 17.40 ÷ 60
40% of the price of the sweater = 17.40 ÷ 60 x 40 = 11.60
Discount given for the necklace
= 18.10 - 11.60
= $6.50
Original price of the necklace
= 58.50 + 6.50
= $65
Percentage discount of the necklace
=
6.5065 x 100%
= 10%
Answer(s): (a) $58.50; (b) 10%