PSLEMrs Pierre bought a jacket and a bracelet at a discount. She spent a total of $68.90 on these two items. She spent $53.50 more on the bracelet than on the jacket.
- How much did she spend on the bracelet?
- The total discount given for the two items was $10.10. She was given a 30% discount for the jacket. What was the percentage discount given for the bracelet?
(a)
Amount spent on the jacket = 1 u
Amount spent on the bracelet = 1 u + 53.50
Total amount spent on the jacket and the bracelet
= 1 u + 1 u + 53.50
= 2 u + 53.50
2 u + 53.50 = 68.90
2 u = 68.90 - 53.50
2 u = 15.40
1 u = 15.40 ÷ 2 = 7.70
Amount that Mrs Pierre spent on the bracelet
= 7.70 + 53.50
= $61.20
(b)
|
Jacket |
Bracelet |
Total |
Original price |
100% |
$68 |
|
Discount |
30% $3.30 |
$6.80 |
$10.10 |
Discounted price |
70% $7.70 |
$61.20 |
$68.90 |
Discounted price of the jacket
= 100% - 30%
= 70%
70% of the price of the jacket = 7.70
1% of the price of the jacket = 7.70 ÷ 70
30% of the price of the jacket = 7.70 ÷ 70 x 30 = 3.30
Discount given for the bracelet
= 10.10 - 3.30
= $6.80
Original price of the bracelet
= 61.20 + 6.80
= $68
Percentage discount of the bracelet
=
6.8068 x 100%
= 10%
Answer(s): (a) $61.20; (b) 10%