PSLE A fruit stall sold avocados at 90¢ and mangosteens at 60¢ each. Risa bought some avocados and Xylia bought some mangosteens from the stall. Xylia spent $1.20 less than Risa, but had 4 fruits more than Risa.
- How many mangosteens did Xylia buy?
- How much did Risa spend on the avocados?
|
Avocados |
Mangosteens |
Number |
1 u |
1 u + 4 |
Value |
0.9 |
0.6 |
Total value |
0.9 u |
0.6 u + 2.4 |
(a)
Number of avocados that Risa bought = 1 u
Number of mangosteens that Xylia bought = 1 u + 4
Amount that Risa paid = 0.9 x 1 u = 0.9 u
Amount that Xylia paid = 0.6(1 u + 4) = 0.6 u + 2.4
If Xylia spent another $1.20, both Xylia and Risa would spend the same amount.
0.9 u = 0.6 u + 2.4 + 1.2
0.9 u - 0.6 u = 2.4 + 1.2
0.3 u = 3.6
1 u = 3.6 ÷ 0.3 = 12
Number of mangosteens that Xylia bought
= 1 u + 4
= 12 + 4
= 16
(b)
Amount that Risa spent on the avocados
= 0.9 u
= 0.9 x 12
= $10.80
Answer(s): (a) 12; (b) $10.80