PSLEMrs Neave bought a coat and a bracelet at a discount. She spent a total of $74.40 on these two items. She spent $55.20 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 $9.60. She was given a 20% 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 + 55.20
Total amount spent on the coat and the bracelet
= 1 u + 1 u + 55.20
= 2 u + 55.20
2 u + 55.20 = 74.40
2 u = 74.40 - 55.20
2 u = 19.20
1 u = 19.20 ÷ 2 = 9.60
Amount that Mrs Neave spent on the bracelet
= 9.60 + 55.20
= $64.80
(b)
|
Coat |
Bracelet |
Total |
Original price |
100% |
$72 |
|
Discount |
20% $2.40 |
$7.20 |
$9.60 |
Discounted price |
80% $9.60 |
$64.80 |
$74.40 |
Discounted price of the coat
= 100% - 20%
= 80%
80% of the price of the coat = 9.60
1% of the price of the coat = 9.60 ÷ 80
20% of the price of the coat = 9.60 ÷ 80 x 20 = 2.40
Discount given for the bracelet
= 9.60 - 2.40
= $7.20
Original price of the bracelet
= 64.80 + 7.20
= $72
Percentage discount of the bracelet
=
7.2072 x 100%
= 10%
Answer(s): (a) $64.80; (b) 10%