PSLEMrs Japheth bought a blazer and a bracelet at a discount. She spent a total of $66.30 on these two items. She spent $25.50 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 $18.70. She was given a 40% 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 + 25.50
Total amount spent on the blazer and the bracelet
= 1 u + 1 u + 25.50
= 2 u + 25.50
2 u + 25.50 = 66.30
2 u = 66.30 - 25.50
2 u = 40.80
1 u = 40.80 ÷ 2 = 20.40
Amount that Mrs Japheth spent on the bracelet
= 20.40 + 25.50
= $45.90
(b)
|
Blazer |
Bracelet |
Total |
Original price |
100% |
$51 |
|
Discount |
40% $13.60 |
$5.10 |
$18.70 |
Discounted price |
60% $20.40 |
$45.90 |
$66.30 |
Discounted price of the blazer
= 100% - 40%
= 60%
60% of the price of the blazer = 20.40
1% of the price of the blazer = 20.40 ÷ 60
40% of the price of the blazer = 20.40 ÷ 60 x 40 = 13.60
Discount given for the bracelet
= 18.70 - 13.60
= $5.10
Original price of the bracelet
= 45.90 + 5.10
= $51
Percentage discount of the bracelet
=
5.1051 x 100%
= 10%
Answer(s): (a) $45.90; (b) 10%