PSLEMrs Dylan bought a jacket and a necklace at a discount. She spent a total of $97.20 on these two items. She spent $52.20 more on the necklace than on the jacket.
- How much did she spend on the necklace?
- The total discount given for the two items was $10.80. She was given a 10% discount for the jacket. What was the percentage discount given for the necklace?
(a)
Amount spent on the jacket = 1 u
Amount spent on the necklace = 1 u + 52.20
Total amount spent on the jacket and the necklace
= 1 u + 1 u + 52.20
= 2 u + 52.20
2 u + 52.20 = 97.20
2 u = 97.20 - 52.20
2 u = 45.00
1 u = 45.00 ÷ 2 = 22.50
Amount that Mrs Dylan spent on the necklace
= 22.50 + 52.20
= $74.70
(b)
|
Jacket |
Necklace |
Total |
Original price |
100% |
$83 |
|
Discount |
10% $2.50 |
$8.30 |
$10.80 |
Discounted price |
90% $22.50 |
$74.70 |
$97.20 |
Discounted price of the jacket
= 100% - 10%
= 90%
90% of the price of the jacket = 22.50
1% of the price of the jacket = 22.50 ÷ 90
10% of the price of the jacket = 22.50 ÷ 90 x 10 = 2.50
Discount given for the necklace
= 10.80 - 2.50
= $8.30
Original price of the necklace
= 74.70 + 8.30
= $83
Percentage discount of the necklace
=
8.3083 x 100%
= 10%
Answer(s): (a) $74.70; (b) 10%