PSLEMrs Ryan bought a blouse and a bracelet at a discount. She spent a total of $73.20 on these two items. She spent $33.60 more on the bracelet than on the blouse.
- How much did she spend on the bracelet?
- The total discount given for the two items was $37.80. She was given a 10% discount for the blouse. What was the percentage discount given for the bracelet?
(a)
Amount spent on the blouse = 1 u
Amount spent on the bracelet = 1 u + 33.60
Total amount spent on the blouse and the bracelet
= 1 u + 1 u + 33.60
= 2 u + 33.60
2 u + 33.60 = 73.20
2 u = 73.20 - 33.60
2 u = 39.60
1 u = 39.60 ÷ 2 = 19.80
Amount that Mrs Ryan spent on the bracelet
= 19.80 + 33.60
= $53.40
(b)
|
Blouse |
Bracelet |
Total |
Original price |
100% |
$89 |
|
Discount |
10% $2.20 |
$35.60 |
$37.80 |
Discounted price |
90% $19.80 |
$53.40 |
$73.20 |
Discounted price of the blouse
= 100% - 10%
= 90%
90% of the price of the blouse = 19.80
1% of the price of the blouse = 19.80 ÷ 90
10% of the price of the blouse = 19.80 ÷ 90 x 10 = 2.20
Discount given for the bracelet
= 37.80 - 2.20
= $35.60
Original price of the bracelet
= 53.40 + 35.60
= $89
Percentage discount of the bracelet
=
35.6089 x 100%
= 40%
Answer(s): (a) $53.40; (b) 40%