PSLE A fruit stall sold avocados at 60¢ and dragon fruits at 30¢ each. Natalie bought some avocados and Esther bought some dragon fruits from the stall. Esther spent $0.90 less than Natalie, but had 5 fruits more than Natalie.
- How many dragon fruits did Esther buy?
- How much did Natalie spend on the avocados?
|
Avocados |
Dragon Fruits |
Number |
1 u |
1 u + 5 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 1.5 |
(a)
Number of avocados that Natalie bought = 1 u
Number of dragon fruits that Esther bought = 1 u + 5
Amount that Natalie paid = 0.6 x 1 u = 0.6 u
Amount that Esther paid = 0.3(1 u + 5) = 0.3 u + 1.5
If Esther spent another $0.90, both Esther and Natalie would spend the same amount.
0.6 u = 0.3 u + 1.5 + 0.9
0.6 u - 0.3 u = 1.5 + 0.9
0.3 u = 2.4
1 u = 2.4 ÷ 0.3 = 8
Number of dragon fruits that Esther bought
= 1 u + 5
= 8 + 5
= 13
(b)
Amount that Natalie spent on the avocados
= 0.6 u
= 0.6 x 8
= $4.80
Answer(s): (a) 8; (b) $4.80