PSLEMrs Warren bought a coat and a bracelet at a discount. She spent a total of $58.10 on these two items. She spent $42.70 more on the bracelet than on the coat.
- How much did she spend on the bracelet?
- The total discount given for the two items was $36.90. She was given a 30% discount for the coat. What was the percentage discount given for the bracelet?
(a)
Amount spent on the coat = 1 u
Amount spent on the bracelet = 1 u + 42.70
Total amount spent on the coat and the bracelet
= 1 u + 1 u + 42.70
= 2 u + 42.70
2 u + 42.70 = 58.10
2 u = 58.10 - 42.70
2 u = 15.40
1 u = 15.40 ÷ 2 = 7.70
Amount that Mrs Warren spent on the bracelet
= 7.70 + 42.70
= $50.40
(b)
|
Coat |
Bracelet |
Total |
Original price |
100% |
$84 |
|
Discount |
30% $3.30 |
$33.60 |
$36.90 |
Discounted price |
70% $7.70 |
$50.40 |
$58.10 |
Discounted price of the coat
= 100% - 30%
= 70%
70% of the price of the coat = 7.70
1% of the price of the coat = 7.70 ÷ 70
30% of the price of the coat = 7.70 ÷ 70 x 30 = 3.30
Discount given for the bracelet
= 36.90 - 3.30
= $33.60
Original price of the bracelet
= 50.40 + 33.60
= $84
Percentage discount of the bracelet
=
33.6084 x 100%
= 40%
Answer(s): (a) $50.40; (b) 40%