PSLE A fruit stall sold guavas at 60¢ and plums at 30¢ each. Gillian bought some guavas and Risa bought some plums from the stall. Risa spent $1.20 less than Gillian, but had 3 fruits more than Gillian.
- How many plums did Risa buy?
- How much did Gillian spend on the guavas?
|
Guavas |
Plums |
Number |
1 u |
1 u + 3 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 0.9 |
(a)
Number of guavas that Gillian bought = 1 u
Number of plums that Risa bought = 1 u + 3
Amount that Gillian paid = 0.6 x 1 u = 0.6 u
Amount that Risa paid = 0.3(1 u + 3) = 0.3 u + 0.9
If Risa spent another $1.20, both Risa and Gillian would spend the same amount.
0.6 u = 0.3 u + 0.9 + 1.2
0.6 u - 0.3 u = 0.9 + 1.2
0.3 u = 2.1
1 u = 2.1 ÷ 0.3 = 7
Number of plums that Risa bought
= 1 u + 3
= 7 + 3
= 10
(b)
Amount that Gillian spent on the guavas
= 0.6 u
= 0.6 x 7
= $4.20
Answer(s): (a) 7; (b) $4.20