PSLEMrs Flynn bought a coat and a bracelet at a discount. She spent a total of $77.30 on these two items. She spent $43.10 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 $27.70. 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 + 43.10
Total amount spent on the coat and the bracelet
= 1 u + 1 u + 43.10
= 2 u + 43.10
2 u + 43.10 = 77.30
2 u = 77.30 - 43.10
2 u = 34.20
1 u = 34.20 ÷ 2 = 17.10
Amount that Mrs Flynn spent on the bracelet
= 17.10 + 43.10
= $60.20
(b)
|
Coat |
Bracelet |
Total |
Original price |
100% |
$86 |
|
Discount |
10% $1.90 |
$25.80 |
$27.70 |
Discounted price |
90% $17.10 |
$60.20 |
$77.30 |
Discounted price of the coat
= 100% - 10%
= 90%
90% of the price of the coat = 17.10
1% of the price of the coat = 17.10 ÷ 90
10% of the price of the coat = 17.10 ÷ 90 x 10 = 1.90
Discount given for the bracelet
= 27.70 - 1.90
= $25.80
Original price of the bracelet
= 60.20 + 25.80
= $86
Percentage discount of the bracelet
=
25.8086 x 100%
= 30%
Answer(s): (a) $60.20; (b) 30%