PSLEMrs Eric bought a dress and a ring at a discount. She spent a total of $64.80 on these two items. She spent $29.60 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 $16.20. 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 + 29.60
Total amount spent on the dress and the ring
= 1 u + 1 u + 29.60
= 2 u + 29.60
2 u + 29.60 = 64.80
2 u = 64.80 - 29.60
2 u = 35.20
1 u = 35.20 ÷ 2 = 17.60
Amount that Mrs Eric spent on the ring
= 17.60 + 29.60
= $47.20
(b)
|
Dress |
Ring |
Total |
Original price |
100% |
$59 |
|
Discount |
20% $4.40 |
$11.80 |
$16.20 |
Discounted price |
80% $17.60 |
$47.20 |
$64.80 |
Discounted price of the dress
= 100% - 20%
= 80%
80% of the price of the dress = 17.60
1% of the price of the dress = 17.60 ÷ 80
20% of the price of the dress = 17.60 ÷ 80 x 20 = 4.40
Discount given for the ring
= 16.20 - 4.40
= $11.80
Original price of the ring
= 47.20 + 11.80
= $59
Percentage discount of the ring
=
11.8059 x 100%
= 20%
Answer(s): (a) $47.20; (b) 20%