PSLEMrs Neave bought a jacket and a bracelet at a discount. She spent a total of $63.10 on these two items. She spent $35.90 more on the bracelet than on the jacket.
- How much did she spend on the bracelet?
- The total discount given for the two items was $8.90. She was given a 20% discount for the jacket. What was the percentage discount given for the bracelet?
(a)
Amount spent on the jacket = 1 u
Amount spent on the bracelet = 1 u + 35.90
Total amount spent on the jacket and the bracelet
= 1 u + 1 u + 35.90
= 2 u + 35.90
2 u + 35.90 = 63.10
2 u = 63.10 - 35.90
2 u = 27.20
1 u = 27.20 ÷ 2 = 13.60
Amount that Mrs Neave spent on the bracelet
= 13.60 + 35.90
= $49.50
(b)
|
Jacket |
Bracelet |
Total |
Original price |
100% |
$55 |
|
Discount |
20% $3.40 |
$5.50 |
$8.90 |
Discounted price |
80% $13.60 |
$49.50 |
$63.10 |
Discounted price of the jacket
= 100% - 20%
= 80%
80% of the price of the jacket = 13.60
1% of the price of the jacket = 13.60 ÷ 80
20% of the price of the jacket = 13.60 ÷ 80 x 20 = 3.40
Discount given for the bracelet
= 8.90 - 3.40
= $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%