PSLEMrs Sean bought a vest and a bracelet at a discount. She spent a total of $61.80 on these two items. She spent $42.60 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 $8.20. She was given a 20% 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 + 42.60
Total amount spent on the vest and the bracelet
= 1 u + 1 u + 42.60
= 2 u + 42.60
2 u + 42.60 = 61.80
2 u = 61.80 - 42.60
2 u = 19.20
1 u = 19.20 ÷ 2 = 9.60
Amount that Mrs Sean spent on the bracelet
= 9.60 + 42.60
= $52.20
(b)
|
Vest |
Bracelet |
Total |
Original price |
100% |
$58 |
|
Discount |
20% $2.40 |
$5.80 |
$8.20 |
Discounted price |
80% $9.60 |
$52.20 |
$61.80 |
Discounted price of the vest
= 100% - 20%
= 80%
80% of the price of the vest = 9.60
1% of the price of the vest = 9.60 ÷ 80
20% of the price of the vest = 9.60 ÷ 80 x 20 = 2.40
Discount given for the bracelet
= 8.20 - 2.40
= $5.80
Original price of the bracelet
= 52.20 + 5.80
= $58
Percentage discount of the bracelet
=
5.8058 x 100%
= 10%
Answer(s): (a) $52.20; (b) 10%