PSLEMrs Glen bought a dress and a ring at a discount. She spent a total of $96.80 on these two items. She spent $45.60 more on the ring than on the dress.
- How much did she spend on the ring?
- The total discount given for the two items was $24.20. She was given a 20% discount for the dress. What was the percentage discount given for the ring?
(a)
Amount spent on the dress = 1 u
Amount spent on the ring = 1 u + 45.60
Total amount spent on the dress and the ring
= 1 u + 1 u + 45.60
= 2 u + 45.60
2 u + 45.60 = 96.80
2 u = 96.80 - 45.60
2 u = 51.20
1 u = 51.20 ÷ 2 = 25.60
Amount that Mrs Glen spent on the ring
= 25.60 + 45.60
= $71.20
(b)
|
Dress |
Ring |
Total |
Original price |
100% |
$89 |
|
Discount |
20% $6.40 |
$17.80 |
$24.20 |
Discounted price |
80% $25.60 |
$71.20 |
$96.80 |
Discounted price of the dress
= 100% - 20%
= 80%
80% of the price of the dress = 25.60
1% of the price of the dress = 25.60 ÷ 80
20% of the price of the dress = 25.60 ÷ 80 x 20 = 6.40
Discount given for the ring
= 24.20 - 6.40
= $17.80
Original price of the ring
= 71.20 + 17.80
= $89
Percentage discount of the ring
=
17.8089 x 100%
= 20%
Answer(s): (a) $71.20; (b) 20%