PSLE
A fruit stall sold mangosteens at 60¢ and dates at 40¢ each. Opal bought some mangosteens and Vanessa bought some dates from the stall. Vanessa spent $1.40 less than Opal, but had 2 fruits more than Opal.

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

	Mangosteens	Dates
Number	1 u	1 u + 2
Value	0.6	0.4
Total value	0.6 u	0.4 u + 0.8

(a)
Number of mangosteens that Opal bought = 1 u
Number of dates that Vanessa bought = 1 u + 2

Amount that Opal paid = 0.6 x 1 u = 0.6 u
Amount that Vanessa paid = 0.4(1 u + 2) = 0.4 u + 0.8

If Vanessa spent another $1.40, both Vanessa and Opal would spend the same amount.

0.6 u = 0.4 u + 0.8 + 1.4
0.6 u - 0.4 u = 0.8 + 1.4
0.2 u = 2.2

1 u = 2.2 ÷ 0.2 = 11

Number of dates that Vanessa bought
= 1 u + 2
= 11 + 2
= 13

(b)
Amount that Opal spent on the mangosteens
= 0.6 u 
= 0.6 x 11 
= $6.60

Answer(s): (a) 11; (b) $6.60