PSLE
A fruit stall sold dates at 60¢ and mangosteens at 40¢ each. Opal bought some dates and Tina bought some mangosteens from the stall. Opal spent $0.20 more than Tina, but had 4 fruits fewer than Tina.

1. How many dates did Opal buy?
2. How much did Tina spend on the mangosteens?

	Dates	Mangosteens
Number	1 u	1 u + 4
Value	0.6	0.4
Total value	0.6 u	0.4 u + 1.6

(a)
Number of dates that Opal bought = 1 u
Number of mangosteens that Tina bought = 1 u + 4

Amount that Opal paid = 0.6 x 1 u = 0.6 u
Amount that Tina paid = 0.4(1 u + 4) = 0.4 u + 1.6

If Tina spent another $0.20, both Tina and Opal would spend the same amount.

0.6 u = 0.4 u + 1.6 + 0.2
0.6 u - 0.4 u = 1.6 + 0.2
0.2 u = 1.8

1 u = 1.8 ÷ 0.2 = 9

Number of dates that Opal bought
= 1 u
= 9

(b)
Amount that Tina spent on the mangosteens
= 0.4 u + 1.6
= 0.4 x 9 + 1.6
= 3.6 + 1.6
= $5.20

Answer(s): (a) 9; (b) $5.20