PSLE A fruit stall sold plums at 60¢ and pomegranates at 30¢ each. Hilda bought some plums and Kimberly bought some pomegranates from the stall. Hilda spent $1.20 more than Kimberly, but had 5 fruits fewer than Kimberly.
- How many plums did Hilda buy?
- How much did Kimberly spend on the pomegranates?
|
Plums |
Pomegranates |
Number |
1 u |
1 u + 5 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 1.5 |
(a)
Number of plums that Hilda bought = 1 u
Number of pomegranates that Kimberly bought = 1 u + 5
Amount that Hilda paid = 0.6 x 1 u = 0.6 u
Amount that Kimberly paid = 0.3(1 u + 5) = 0.3 u + 1.5
If Kimberly spent another $1.20, both Kimberly and Hilda would spend the same amount.
0.6 u = 0.3 u + 1.5 + 1.2
0.6 u - 0.3 u = 1.5 + 1.2
0.3 u = 2.7
1 u = 2.7 ÷ 0.3 = 9
Number of plums that Hilda bought
= 1 u
= 9
(b)
Amount that Kimberly spent on the pomegranates
= 0.3 u + 1.5
= 0.3 x 9 + 1.5
= 2.7 + 1.5
= $4.20
Answer(s): (a) 9; (b) $4.20