PSLEMrs Archie bought a blazer and a necklace at a discount. She spent a total of $83.70 on these two items. She spent $45.90 more on the necklace than on the blazer.
- How much did she spend on the necklace?
- The total discount given for the two items was $9.30. She was given a 10% discount for the blazer. What was the percentage discount given for the necklace?
(a)
Amount spent on the blazer = 1 u
Amount spent on the necklace = 1 u + 45.90
Total amount spent on the blazer and the necklace
= 1 u + 1 u + 45.90
= 2 u + 45.90
2 u + 45.90 = 83.70
2 u = 83.70 - 45.90
2 u = 37.80
1 u = 37.80 ÷ 2 = 18.90
Amount that Mrs Archie spent on the necklace
= 18.90 + 45.90
= $64.80
(b)
|
Blazer |
Necklace |
Total |
Original price |
100% |
$72 |
|
Discount |
10% $2.10 |
$7.20 |
$9.30 |
Discounted price |
90% $18.90 |
$64.80 |
$83.70 |
Discounted price of the blazer
= 100% - 10%
= 90%
90% of the price of the blazer = 18.90
1% of the price of the blazer = 18.90 ÷ 90
10% of the price of the blazer = 18.90 ÷ 90 x 10 = 2.10
Discount given for the necklace
= 9.30 - 2.10
= $7.20
Original price of the necklace
= 64.80 + 7.20
= $72
Percentage discount of the necklace
=
7.2072 x 100%
= 10%
Answer(s): (a) $64.80; (b) 10%