PSLEMrs Reggie bought a dress and a necklace at a discount. She spent a total of $98.30 on these two items. She spent $28.10 more on the necklace than on the dress.
- How much did she spend on the necklace?
- The total discount given for the two items was $19.70. She was given a 10% discount for the dress. What was the percentage discount given for the necklace?
(a)
Amount spent on the dress = 1 u
Amount spent on the necklace = 1 u + 28.10
Total amount spent on the dress and the necklace
= 1 u + 1 u + 28.10
= 2 u + 28.10
2 u + 28.10 = 98.30
2 u = 98.30 - 28.10
2 u = 70.20
1 u = 70.20 ÷ 2 = 35.10
Amount that Mrs Reggie spent on the necklace
= 35.10 + 28.10
= $63.20
(b)
|
Dress |
Necklace |
Total |
Original price |
100% |
$79 |
|
Discount |
10% $3.90 |
$15.80 |
$19.70 |
Discounted price |
90% $35.10 |
$63.20 |
$98.30 |
Discounted price of the dress
= 100% - 10%
= 90%
90% of the price of the dress = 35.10
1% of the price of the dress = 35.10 ÷ 90
10% of the price of the dress = 35.10 ÷ 90 x 10 = 3.90
Discount given for the necklace
= 19.70 - 3.90
= $15.80
Original price of the necklace
= 63.20 + 15.80
= $79
Percentage discount of the necklace
=
15.8079 x 100%
= 20%
Answer(s): (a) $63.20; (b) 20%