PSLEMrs Caden bought a skirt and a necklace at a discount. She spent a total of $85.50 on these two items. She spent $42.30 more on the necklace than on the skirt.
- How much did she spend on the necklace?
- The total discount given for the two items was $12.50. She was given a 20% discount for the skirt. What was the percentage discount given for the necklace?
(a)
Amount spent on the skirt = 1 u
Amount spent on the necklace = 1 u + 42.30
Total amount spent on the skirt and the necklace
= 1 u + 1 u + 42.30
= 2 u + 42.30
2 u + 42.30 = 85.50
2 u = 85.50 - 42.30
2 u = 43.20
1 u = 43.20 ÷ 2 = 21.60
Amount that Mrs Caden spent on the necklace
= 21.60 + 42.30
= $63.90
(b)
|
Skirt |
Necklace |
Total |
Original price |
100% |
$71 |
|
Discount |
20% $5.40 |
$7.10 |
$12.50 |
Discounted price |
80% $21.60 |
$63.90 |
$85.50 |
Discounted price of the skirt
= 100% - 20%
= 80%
80% of the price of the skirt = 21.60
1% of the price of the skirt = 21.60 ÷ 80
20% of the price of the skirt = 21.60 ÷ 80 x 20 = 5.40
Discount given for the necklace
= 12.50 - 5.40
= $7.10
Original price of the necklace
= 63.90 + 7.10
= $71
Percentage discount of the necklace
=
7.1071 x 100%
= 10%
Answer(s): (a) $63.90; (b) 10%