PSLEMrs Rael bought a sweater and a bracelet at a discount. She spent a total of $65.90 on these two items. She spent $19.50 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 $24.10. She was given a 20% 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 + 19.50
Total amount spent on the sweater and the bracelet
= 1 u + 1 u + 19.50
= 2 u + 19.50
2 u + 19.50 = 65.90
2 u = 65.90 - 19.50
2 u = 46.40
1 u = 46.40 ÷ 2 = 23.20
Amount that Mrs Rael spent on the bracelet
= 23.20 + 19.50
= $42.70
(b)
|
Sweater |
Bracelet |
Total |
Original price |
100% |
$61 |
|
Discount |
20% $5.80 |
$18.30 |
$24.10 |
Discounted price |
80% $23.20 |
$42.70 |
$65.90 |
Discounted price of the sweater
= 100% - 20%
= 80%
80% of the price of the sweater = 23.20
1% of the price of the sweater = 23.20 ÷ 80
20% of the price of the sweater = 23.20 ÷ 80 x 20 = 5.80
Discount given for the bracelet
= 24.10 - 5.80
= $18.30
Original price of the bracelet
= 42.70 + 18.30
= $61
Percentage discount of the bracelet
=
18.3061 x 100%
= 30%
Answer(s): (a) $42.70; (b) 30%