PSLE A fruit stall sold pomegranates at 60¢ and apples at 30¢ each. Joelle bought some pomegranates and Esther bought some apples from the stall. Joelle spent $1.80 more than Esther, but had 3 fruits fewer than Esther.
- How many pomegranates did Joelle buy?
- How much did Esther spend on the apples?
|
Pomegranates |
Apples |
Number |
1 u |
1 u + 3 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 0.9 |
(a)
Number of pomegranates that Joelle bought = 1 u
Number of apples that Esther bought = 1 u + 3
Amount that Joelle paid = 0.6 x 1 u = 0.6 u
Amount that Esther paid = 0.3(1 u + 3) = 0.3 u + 0.9
If Esther spent another $1.80, both Esther and Joelle would spend the same amount.
0.6 u = 0.3 u + 0.9 + 1.8
0.6 u - 0.3 u = 0.9 + 1.8
0.3 u = 2.7
1 u = 2.7 ÷ 0.3 = 9
Number of pomegranates that Joelle bought
= 1 u
= 9
(b)
Amount that Esther spent on the apples
= 0.3 u + 0.9
= 0.3 x 9 + 0.9
= 2.7 + 0.9
= $3.60
Answer(s): (a) 9; (b) $3.60