PSLEMrs Brandon bought a coat and a necklace at a discount. She spent a total of $84.80 on these two items. She spent $46.40 more on the necklace than on the coat.
- How much did she spend on the necklace?
- The total discount given for the two items was $21.20. She was given a 20% discount for the coat. What was the percentage discount given for the necklace?
(a)
Amount spent on the coat = 1 u
Amount spent on the necklace = 1 u + 46.40
Total amount spent on the coat and the necklace
= 1 u + 1 u + 46.40
= 2 u + 46.40
2 u + 46.40 = 84.80
2 u = 84.80 - 46.40
2 u = 38.40
1 u = 38.40 ÷ 2 = 19.20
Amount that Mrs Brandon spent on the necklace
= 19.20 + 46.40
= $65.60
(b)
|
Coat |
Necklace |
Total |
Original price |
100% |
$82 |
|
Discount |
20% $4.80 |
$16.40 |
$21.20 |
Discounted price |
80% $19.20 |
$65.60 |
$84.80 |
Discounted price of the coat
= 100% - 20%
= 80%
80% of the price of the coat = 19.20
1% of the price of the coat = 19.20 ÷ 80
20% of the price of the coat = 19.20 ÷ 80 x 20 = 4.80
Discount given for the necklace
= 21.20 - 4.80
= $16.40
Original price of the necklace
= 65.60 + 16.40
= $82
Percentage discount of the necklace
=
16.4082 x 100%
= 20%
Answer(s): (a) $65.60; (b) 20%