PSLE A fruit stall sold mandarin oranges at 60¢ and guavas at 30¢ each. Esther bought some mandarin oranges and Erika bought some guavas from the stall. Esther spent $0.90 more than Erika, but had 3 fruits fewer than Erika.
- How many mandarin oranges did Esther buy?
- How much did Erika spend on the guavas?
|
Mandarin Oranges |
Guavas |
Number |
1 u |
1 u + 3 |
Value |
0.6 |
0.3 |
Total value |
0.6 u |
0.3 u + 0.9 |
(a)
Number of mandarin oranges that Esther bought = 1 u
Number of guavas that Erika bought = 1 u + 3
Amount that Esther paid = 0.6 x 1 u = 0.6 u
Amount that Erika paid = 0.3(1 u + 3) = 0.3 u + 0.9
If Erika spent another $0.90, both Erika and Esther would spend the same amount.
0.6 u = 0.3 u + 0.9 + 0.9
0.6 u - 0.3 u = 0.9 + 0.9
0.3 u = 1.8
1 u = 1.8 ÷ 0.3 = 6
Number of mandarin oranges that Esther bought
= 1 u
= 6
(b)
Amount that Erika spent on the guavas
= 0.3 u + 0.9
= 0.3 x 6 + 0.9
= 1.8 + 0.9
= $2.70
Answer(s): (a) 6; (b) $2.70