PSLEMrs Zane bought a coat and a bracelet at a discount. She spent a total of $72.30 on these two items. She spent $32.70 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 $24.70. She was given a 10% 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 + 32.70
Total amount spent on the coat and the bracelet
= 1 u + 1 u + 32.70
= 2 u + 32.70
2 u + 32.70 = 72.30
2 u = 72.30 - 32.70
2 u = 39.60
1 u = 39.60 ÷ 2 = 19.80
Amount that Mrs Zane spent on the bracelet
= 19.80 + 32.70
= $52.50
(b)
|
Coat |
Bracelet |
Total |
Original price |
100% |
$75 |
|
Discount |
10% $2.20 |
$22.50 |
$24.70 |
Discounted price |
90% $19.80 |
$52.50 |
$72.30 |
Discounted price of the coat
= 100% - 10%
= 90%
90% of the price of the coat = 19.80
1% of the price of the coat = 19.80 ÷ 90
10% of the price of the coat = 19.80 ÷ 90 x 10 = 2.20
Discount given for the bracelet
= 24.70 - 2.20
= $22.50
Original price of the bracelet
= 52.50 + 22.50
= $75
Percentage discount of the bracelet
=
22.5075 x 100%
= 30%
Answer(s): (a) $52.50; (b) 30%