PSLE A fruit stall sold mandarin oranges at 70¢ and avocados at 40¢ each. Cindy bought some mandarin oranges and Kylie bought some avocados from the stall. Cindy spent $1.30 more than Kylie, but had 2 fruits fewer than Kylie.
- How many mandarin oranges did Cindy buy?
- How much did Kylie spend on the avocados?
|
Mandarin Oranges |
Avocados |
Number |
1 u |
1 u + 2 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 0.8 |
(a)
Number of mandarin oranges that Cindy bought = 1 u
Number of avocados that Kylie bought = 1 u + 2
Amount that Cindy paid = 0.7 x 1 u = 0.7 u
Amount that Kylie paid = 0.4(1 u + 2) = 0.4 u + 0.8
If Kylie spent another $1.30, both Kylie and Cindy would spend the same amount.
0.7 u = 0.4 u + 0.8 + 1.3
0.7 u - 0.4 u = 0.8 + 1.3
0.3 u = 2.1
1 u = 2.1 ÷ 0.3 = 7
Number of mandarin oranges that Cindy bought
= 1 u
= 7
(b)
Amount that Kylie spent on the avocados
= 0.4 u + 0.8
= 0.4 x 7 + 0.8
= 2.8 + 0.8
= $3.60
Answer(s): (a) 7; (b) $3.60