PSLE A fruit stall sold dragon fruits at 60¢ and avocados at 30¢ each. Elyse bought some dragon fruits and Jaslyn bought some avocados from the stall. Elyse spent $0.90 more than Jaslyn, but had 8 fruits fewer than Jaslyn.
- How many dragon fruits did Elyse buy?
- How much did Jaslyn spend on the avocados?
|
Dragon Fruits |
Avocados |
Number |
1 u |
1 u + 8 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 2.4 |
(a)
Number of dragon fruits that Elyse bought = 1 u
Number of avocados that Jaslyn bought = 1 u + 8
Amount that Elyse paid = 0.6 x 1 u = 0.6 u
Amount that Jaslyn paid = 0.3(1 u + 8) = 0.3 u + 2.4
If Jaslyn spent another $0.90, both Jaslyn and Elyse would spend the same amount.
0.6 u = 0.3 u + 2.4 + 0.9
0.6 u - 0.3 u = 2.4 + 0.9
0.3 u = 3.3
1 u = 3.3 ÷ 0.3 = 11
Number of dragon fruits that Elyse bought
= 1 u
= 11
(b)
Amount that Jaslyn spent on the avocados
= 0.3 u + 2.4
= 0.3 x 11 + 2.4
= 3.3 + 2.4
= $5.70
Answer(s): (a) 11; (b) $5.70