PSLEMrs Luis bought a windbreaker and a bracelet at a discount. She spent a total of $64.90 on these two items. She spent $43.90 more on the bracelet than on the windbreaker.
- How much did she spend on the bracelet?
- The total discount given for the two items was $18.10. She was given a 30% discount for the windbreaker. What was the percentage discount given for the bracelet?
(a)
Amount spent on the windbreaker = 1 u
Amount spent on the bracelet = 1 u + 43.90
Total amount spent on the windbreaker and the bracelet
= 1 u + 1 u + 43.90
= 2 u + 43.90
2 u + 43.90 = 64.90
2 u = 64.90 - 43.90
2 u = 21.00
1 u = 21.00 ÷ 2 = 10.50
Amount that Mrs Luis spent on the bracelet
= 10.50 + 43.90
= $54.40
(b)
|
Windbreaker |
Bracelet |
Total |
Original price |
100% |
$68 |
|
Discount |
30% $4.50 |
$13.60 |
$18.10 |
Discounted price |
70% $10.50 |
$54.40 |
$64.90 |
Discounted price of the windbreaker
= 100% - 30%
= 70%
70% of the price of the windbreaker = 10.50
1% of the price of the windbreaker = 10.50 ÷ 70
30% of the price of the windbreaker = 10.50 ÷ 70 x 30 = 4.50
Discount given for the bracelet
= 18.10 - 4.50
= $13.60
Original price of the bracelet
= 54.40 + 13.60
= $68
Percentage discount of the bracelet
=
13.6068 x 100%
= 20%
Answer(s): (a) $54.40; (b) 20%