PSLEMrs Flynn bought a blazer and a bracelet at a discount. She spent a total of $71.90 on these two items. She spent $19.10 more on the bracelet than on the blazer.
- How much did she spend on the bracelet?
- The total discount given for the two items was $26.10. She was given a 20% discount for the blazer. What was the percentage discount given for the bracelet?
(a)
Amount spent on the blazer = 1 u
Amount spent on the bracelet = 1 u + 19.10
Total amount spent on the blazer and the bracelet
= 1 u + 1 u + 19.10
= 2 u + 19.10
2 u + 19.10 = 71.90
2 u = 71.90 - 19.10
2 u = 52.80
1 u = 52.80 ÷ 2 = 26.40
Amount that Mrs Flynn spent on the bracelet
= 26.40 + 19.10
= $45.50
(b)
|
Blazer |
Bracelet |
Total |
Original price |
100% |
$65 |
|
Discount |
20% $6.60 |
$19.50 |
$26.10 |
Discounted price |
80% $26.40 |
$45.50 |
$71.90 |
Discounted price of the blazer
= 100% - 20%
= 80%
80% of the price of the blazer = 26.40
1% of the price of the blazer = 26.40 ÷ 80
20% of the price of the blazer = 26.40 ÷ 80 x 20 = 6.60
Discount given for the bracelet
= 26.10 - 6.60
= $19.50
Original price of the bracelet
= 45.50 + 19.50
= $65
Percentage discount of the bracelet
=
19.5065 x 100%
= 30%
Answer(s): (a) $45.50; (b) 30%