PSLE A fruit stall sold coconuts at 70¢ and pomegranates at 40¢ each. Eva bought some coconuts and Diana bought some pomegranates from the stall. Diana spent $1.90 less than Eva, but had 2 fruits more than Eva.
- How many pomegranates did Diana buy?
- How much did Eva spend on the coconuts?
|
Coconuts |
Pomegranates |
Number |
1 u |
1 u + 2 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 0.8 |
(a)
Number of coconuts that Eva bought = 1 u
Number of pomegranates that Diana bought = 1 u + 2
Amount that Eva paid = 0.7 x 1 u = 0.7 u
Amount that Diana paid = 0.4(1 u + 2) = 0.4 u + 0.8
If Diana spent another $1.90, both Diana and Eva would spend the same amount.
0.7 u = 0.4 u + 0.8 + 1.9
0.7 u - 0.4 u = 0.8 + 1.9
0.3 u = 2.7
1 u = 2.7 ÷ 0.3 = 9
Number of pomegranates that Diana bought
= 1 u + 2
= 9 + 2
= 11
(b)
Amount that Eva spent on the coconuts
= 0.7 u
= 0.7 x 9
= $6.30
Answer(s): (a) 9; (b) $6.30