PSLEMrs Gabriel bought a sweater and a bracelet at a discount. She spent a total of $70.90 on these two items. She spent $31.70 more on the bracelet than on the sweater.
- How much did she spend on the bracelet?
- The total discount given for the two items was $14.10. She was given a 30% discount for the sweater. What was the percentage discount given for the bracelet?
(a)
Amount spent on the sweater = 1 u
Amount spent on the bracelet = 1 u + 31.70
Total amount spent on the sweater and the bracelet
= 1 u + 1 u + 31.70
= 2 u + 31.70
2 u + 31.70 = 70.90
2 u = 70.90 - 31.70
2 u = 39.20
1 u = 39.20 ÷ 2 = 19.60
Amount that Mrs Gabriel spent on the bracelet
= 19.60 + 31.70
= $51.30
(b)
|
Sweater |
Bracelet |
Total |
Original price |
100% |
$57 |
|
Discount |
30% $8.40 |
$5.70 |
$14.10 |
Discounted price |
70% $19.60 |
$51.30 |
$70.90 |
Discounted price of the sweater
= 100% - 30%
= 70%
70% of the price of the sweater = 19.60
1% of the price of the sweater = 19.60 ÷ 70
30% of the price of the sweater = 19.60 ÷ 70 x 30 = 8.40
Discount given for the bracelet
= 14.10 - 8.40
= $5.70
Original price of the bracelet
= 51.30 + 5.70
= $57
Percentage discount of the bracelet
=
5.7057 x 100%
= 10%
Answer(s): (a) $51.30; (b) 10%