PSLE A fruit stall sold avocados at 60¢ and papayas at 30¢ each. Kimberly bought some avocados and Nora bought some papayas from the stall. Kimberly spent $1.20 more than Nora, but had 7 fruits fewer than Nora.
- How many avocados did Kimberly buy?
- How much did Nora spend on the papayas?
|
Avocados |
Papayas |
Number |
1 u |
1 u + 7 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 2.1 |
(a)
Number of avocados that Kimberly bought = 1 u
Number of papayas that Nora bought = 1 u + 7
Amount that Kimberly paid = 0.6 x 1 u = 0.6 u
Amount that Nora paid = 0.3(1 u + 7) = 0.3 u + 2.1
If Nora spent another $1.20, both Nora and Kimberly would spend the same amount.
0.6 u = 0.3 u + 2.1 + 1.2
0.6 u - 0.3 u = 2.1 + 1.2
0.3 u = 3.3
1 u = 3.3 ÷ 0.3 = 11
Number of avocados that Kimberly bought
= 1 u
= 11
(b)
Amount that Nora spent on the papayas
= 0.3 u + 2.1
= 0.3 x 11 + 2.1
= 3.3 + 2.1
= $5.40
Answer(s): (a) 11; (b) $5.40