PSLE A fruit stall sold dates at 70¢ and mandarin oranges at 40¢ each. Marion bought some dates and Tammy bought some mandarin oranges from the stall. Tammy spent $1.20 less than Marion, but had 3 fruits more than Marion.
- How many mandarin oranges did Tammy buy?
- How much did Marion spend on the dates?
|
Dates |
Mandarin Oranges |
Number |
1 u |
1 u + 3 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 1.2 |
(a)
Number of dates that Marion bought = 1 u
Number of mandarin oranges that Tammy bought = 1 u + 3
Amount that Marion paid = 0.7 x 1 u = 0.7 u
Amount that Tammy paid = 0.4(1 u + 3) = 0.4 u + 1.2
If Tammy spent another $1.20, both Tammy and Marion would spend the same amount.
0.7 u = 0.4 u + 1.2 + 1.2
0.7 u - 0.4 u = 1.2 + 1.2
0.3 u = 2.4
1 u = 2.4 ÷ 0.3 = 8
Number of mandarin oranges that Tammy bought
= 1 u + 3
= 8 + 3
= 11
(b)
Amount that Marion spent on the dates
= 0.7 u
= 0.7 x 8
= $5.60
Answer(s): (a) 8; (b) $5.60