PSLEMrs Fred bought a windbreaker and a bracelet at a discount. She spent a total of $79.80 on these two items. She spent $26.60 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 $34.20. 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 + 26.60
Total amount spent on the windbreaker and the bracelet
= 1 u + 1 u + 26.60
= 2 u + 26.60
2 u + 26.60 = 79.80
2 u = 79.80 - 26.60
2 u = 53.20
1 u = 53.20 ÷ 2 = 26.60
Amount that Mrs Fred spent on the bracelet
= 26.60 + 26.60
= $53.20
(b)
|
Windbreaker |
Bracelet |
Total |
Original price |
100% |
$76 |
|
Discount |
30% $11.40 |
$22.80 |
$34.20 |
Discounted price |
70% $26.60 |
$53.20 |
$79.80 |
Discounted price of the windbreaker
= 100% - 30%
= 70%
70% of the price of the windbreaker = 26.60
1% of the price of the windbreaker = 26.60 ÷ 70
30% of the price of the windbreaker = 26.60 ÷ 70 x 30 = 11.40
Discount given for the bracelet
= 34.20 - 11.40
= $22.80
Original price of the bracelet
= 53.20 + 22.80
= $76
Percentage discount of the bracelet
=
22.8076 x 100%
= 30%
Answer(s): (a) $53.20; (b) 30%