PSLE A fruit stall sold grapefruits at 70¢ and apples at 40¢ each. Marion bought some grapefruits and Shiyun bought some apples from the stall. Shiyun spent $1.90 less than Marion, but had 2 fruits more than Marion.
- How many apples did Shiyun buy?
- How much did Marion spend on the grapefruits?
|
Grapefruits |
Apples |
Number |
1 u |
1 u + 2 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 0.8 |
(a)
Number of grapefruits that Marion bought = 1 u
Number of apples that Shiyun bought = 1 u + 2
Amount that Marion paid = 0.7 x 1 u = 0.7 u
Amount that Shiyun paid = 0.4(1 u + 2) = 0.4 u + 0.8
If Shiyun spent another $1.90, both Shiyun and Marion would spend the same amount.
0.7 u = 0.4 u + 0.8 + 1.9
0.7 u - 0.4 u = 0.8 + 1.9
0.3 u = 2.7
1 u = 2.7 ÷ 0.3 = 9
Number of apples that Shiyun bought
= 1 u + 2
= 9 + 2
= 11
(b)
Amount that Marion spent on the grapefruits
= 0.7 u
= 0.7 x 9
= $6.30
Answer(s): (a) 9; (b) $6.30