PSLE A fruit stall sold papayas at 60¢ and apricots at 30¢ each. Sabrina bought some papayas and Fanny bought some apricots from the stall. Sabrina spent $0.90 more than Fanny, but had 4 fruits fewer than Fanny.
- How many papayas did Sabrina buy?
- How much did Fanny spend on the apricots?
|
Papayas |
Apricots |
Number |
1 u |
1 u + 4 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 1.2 |
(a)
Number of papayas that Sabrina bought = 1 u
Number of apricots that Fanny bought = 1 u + 4
Amount that Sabrina paid = 0.6 x 1 u = 0.6 u
Amount that Fanny paid = 0.3(1 u + 4) = 0.3 u + 1.2
If Fanny spent another $0.90, both Fanny and Sabrina would spend the same amount.
0.6 u = 0.3 u + 1.2 + 0.9
0.6 u - 0.3 u = 1.2 + 0.9
0.3 u = 2.1
1 u = 2.1 ÷ 0.3 = 7
Number of papayas that Sabrina bought
= 1 u
= 7
(b)
Amount that Fanny spent on the apricots
= 0.3 u + 1.2
= 0.3 x 7 + 1.2
= 2.1 + 1.2
= $3.30
Answer(s): (a) 7; (b) $3.30