PSLE A fruit stall sold avocados at 60¢ and grapefruits at 30¢ each. Ivory bought some avocados and Zara bought some grapefruits from the stall. Zara spent $0.90 less than Ivory, but had 6 fruits more than Ivory.
- How many grapefruits did Zara buy?
- How much did Ivory spend on the avocados?
|
Avocados |
Grapefruits |
Number |
1 u |
1 u + 6 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 1.8 |
(a)
Number of avocados that Ivory bought = 1 u
Number of grapefruits that Zara bought = 1 u + 6
Amount that Ivory paid = 0.6 x 1 u = 0.6 u
Amount that Zara paid = 0.3(1 u + 6) = 0.3 u + 1.8
If Zara spent another $0.90, both Zara and Ivory would spend the same amount.
0.6 u = 0.3 u + 1.8 + 0.9
0.6 u - 0.3 u = 1.8 + 0.9
0.3 u = 2.7
1 u = 2.7 ÷ 0.3 = 9
Number of grapefruits that Zara bought
= 1 u + 6
= 9 + 6
= 15
(b)
Amount that Ivory spent on the avocados
= 0.6 u
= 0.6 x 9
= $5.40
Answer(s): (a) 9; (b) $5.40