PSLEMrs Vincent bought a blazer and a bracelet at a discount. She spent a total of $83.70 on these two items. She spent $36.90 more on the bracelet than on the blazer.
- How much did she spend on the bracelet?
- The total discount given for the two items was $9.30. She was given a 10% discount for the blazer. What was the percentage discount given for the bracelet?
(a)
Amount spent on the blazer = 1 u
Amount spent on the bracelet = 1 u + 36.90
Total amount spent on the blazer and the bracelet
= 1 u + 1 u + 36.90
= 2 u + 36.90
2 u + 36.90 = 83.70
2 u = 83.70 - 36.90
2 u = 46.80
1 u = 46.80 ÷ 2 = 23.40
Amount that Mrs Vincent spent on the bracelet
= 23.40 + 36.90
= $60.30
(b)
|
Blazer |
Bracelet |
Total |
Original price |
100% |
$67 |
|
Discount |
10% $2.60 |
$6.70 |
$9.30 |
Discounted price |
90% $23.40 |
$60.30 |
$83.70 |
Discounted price of the blazer
= 100% - 10%
= 90%
90% of the price of the blazer = 23.40
1% of the price of the blazer = 23.40 ÷ 90
10% of the price of the blazer = 23.40 ÷ 90 x 10 = 2.60
Discount given for the bracelet
= 9.30 - 2.60
= $6.70
Original price of the bracelet
= 60.30 + 6.70
= $67
Percentage discount of the bracelet
=
6.7067 x 100%
= 10%
Answer(s): (a) $60.30; (b) 10%