PSLEMrs Vincent bought a vest and a bracelet at a discount. She spent a total of $69.30 on these two items. She spent $29.70 more on the bracelet than on the vest.
- How much did she spend on the bracelet?
- The total discount given for the two items was $18.70. She was given a 40% discount for the vest. What was the percentage discount given for the bracelet?
(a)
Amount spent on the vest = 1 u
Amount spent on the bracelet = 1 u + 29.70
Total amount spent on the vest and the bracelet
= 1 u + 1 u + 29.70
= 2 u + 29.70
2 u + 29.70 = 69.30
2 u = 69.30 - 29.70
2 u = 39.60
1 u = 39.60 ÷ 2 = 19.80
Amount that Mrs Vincent spent on the bracelet
= 19.80 + 29.70
= $49.50
(b)
|
Vest |
Bracelet |
Total |
Original price |
100% |
$55 |
|
Discount |
40% $13.20 |
$5.50 |
$18.70 |
Discounted price |
60% $19.80 |
$49.50 |
$69.30 |
Discounted price of the vest
= 100% - 40%
= 60%
60% of the price of the vest = 19.80
1% of the price of the vest = 19.80 ÷ 60
40% of the price of the vest = 19.80 ÷ 60 x 40 = 13.20
Discount given for the bracelet
= 18.70 - 13.20
= $5.50
Original price of the bracelet
= 49.50 + 5.50
= $55
Percentage discount of the bracelet
=
5.5055 x 100%
= 10%
Answer(s): (a) $49.50; (b) 10%