PSLE A fruit stall sold plums at 70¢ and dragon fruits at 40¢ each. Sabrina bought some plums and Tiffany bought some dragon fruits from the stall. Tiffany spent $1.20 less than Sabrina, but had 6 fruits more than Sabrina.
- How many dragon fruits did Tiffany buy?
- How much did Sabrina spend on the plums?
|
Plums |
Dragon Fruits |
Number |
1 u |
1 u + 6 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 2.4 |
(a)
Number of plums that Sabrina bought = 1 u
Number of dragon fruits that Tiffany bought = 1 u + 6
Amount that Sabrina paid = 0.7 x 1 u = 0.7 u
Amount that Tiffany paid = 0.4(1 u + 6) = 0.4 u + 2.4
If Tiffany spent another $1.20, both Tiffany and Sabrina would spend the same amount.
0.7 u = 0.4 u + 2.4 + 1.2
0.7 u - 0.4 u = 2.4 + 1.2
0.3 u = 3.6
1 u = 3.6 ÷ 0.3 = 12
Number of dragon fruits that Tiffany bought
= 1 u + 6
= 12 + 6
= 18
(b)
Amount that Sabrina spent on the plums
= 0.7 u
= 0.7 x 12
= $8.40
Answer(s): (a) 12; (b) $8.40