PSLEMrs Flynn bought a dress and a ring at a discount. She spent a total of $49.20 on these two items. She spent $15.60 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 $28.80. She was given a 30% 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 + 15.60
Total amount spent on the dress and the ring
= 1 u + 1 u + 15.60
= 2 u + 15.60
2 u + 15.60 = 49.20
2 u = 49.20 - 15.60
2 u = 33.60
1 u = 33.60 ÷ 2 = 16.80
Amount that Mrs Flynn spent on the ring
= 16.80 + 15.60
= $32.40
(b)
|
Dress |
Ring |
Total |
Original price |
100% |
$54 |
|
Discount |
30% $7.20 |
$21.60 |
$28.80 |
Discounted price |
70% $16.80 |
$32.40 |
$49.20 |
Discounted price of the dress
= 100% - 30%
= 70%
70% of the price of the dress = 16.80
1% of the price of the dress = 16.80 ÷ 70
30% of the price of the dress = 16.80 ÷ 70 x 30 = 7.20
Discount given for the ring
= 28.80 - 7.20
= $21.60
Original price of the ring
= 32.40 + 21.60
= $54
Percentage discount of the ring
=
21.6054 x 100%
= 40%
Answer(s): (a) $32.40; (b) 40%