PSLE
A fruit stall sold guavas at 70¢ and dates at 40¢ each. Hazel bought some guavas and Shannon bought some dates from the stall. Hazel spent $0.10 more than Shannon, but had 5 fruits fewer than Shannon.

1. How many guavas did Hazel buy?
2. How much did Shannon spend on the dates?

	Guavas	Dates
Number	1 u	1 u + 5
Value	0.7	0.4
Total value	0.7 u	0.4 u + 2

(a)
Number of guavas that Hazel bought = 1 u
Number of dates that Shannon bought = 1 u + 5

Amount that Hazel paid = 0.7 x 1 u = 0.7 u
Amount that Shannon paid = 0.4(1 u + 5) = 0.4 u + 2

If Shannon spent another $0.10, both Shannon and Hazel would spend the same amount.

0.7 u = 0.4 u + 2 + 0.1
0.7 u - 0.4 u = 2 + 0.1
0.3 u = 2.1

1 u = 2.1 ÷ 0.3 = 7

Number of guavas that Hazel bought
= 1 u
= 7

(b)
Amount that Shannon spent on the dates
= 0.4 u + 2
= 0.4 x 7 + 2
= 2.8 + 2
= $4.80

Answer(s): (a) 7; (b) $4.80