PSLE
A fruit stall sold mangosteens at 60¢ and dates at 30¢ each. Xuan bought some mangosteens and Hilda bought some dates from the stall. Hilda spent $1.20 less than Xuan, but had 3 fruits more than Xuan.

1. How many dates did Hilda buy?
2. How much did Xuan spend on the mangosteens?

	Mangosteens	Dates
Number	1 u	1 u + 3
Value	0.6	0.3
Total value	0.6 u	0.3 u + 0.9

(a)
Number of mangosteens that Xuan bought = 1 u
Number of dates that Hilda bought = 1 u + 3

Amount that Xuan paid = 0.6 x 1 u = 0.6 u
Amount that Hilda paid = 0.3(1 u + 3) = 0.3 u + 0.9

If Hilda spent another $1.20, both Hilda and Xuan would spend the same amount.

0.6 u = 0.3 u + 0.9 + 1.2
0.6 u - 0.3 u = 0.9 + 1.2
0.3 u = 2.1

1 u = 2.1 ÷ 0.3 = 7

Number of dates that Hilda bought
= 1 u + 3
= 7 + 3
= 10

(b)
Amount that Xuan spent on the mangosteens
= 0.6 u 
= 0.6 x 7 
= $4.20

Answer(s): (a) 7; (b) $4.20