PSLE
A fruit stall sold pomegranates at 70¢ and guavas at 40¢ each. Rachel bought some pomegranates and Jean bought some guavas from the stall. Jean spent $1.60 less than Rachel, but had 2 fruits more than Rachel.

1. How many guavas did Jean buy?
2. How much did Rachel spend on the pomegranates?

	Pomegranates	Guavas
Number	1 u	1 u + 2
Value	0.7	0.4
Total value	0.7 u	0.4 u + 0.8

(a)
Number of pomegranates that Rachel bought = 1 u
Number of guavas that Jean bought = 1 u + 2

Amount that Rachel paid = 0.7 x 1 u = 0.7 u
Amount that Jean paid = 0.4(1 u + 2) = 0.4 u + 0.8

If Jean spent another $1.60, both Jean and Rachel would spend the same amount.

0.7 u = 0.4 u + 0.8 + 1.6
0.7 u - 0.4 u = 0.8 + 1.6
0.3 u = 2.4

1 u = 2.4 ÷ 0.3 = 8

Number of guavas that Jean bought
= 1 u + 2
= 8 + 2
= 10

(b)
Amount that Rachel spent on the pomegranates
= 0.7 u 
= 0.7 x 8 
= $5.60

Answer(s): (a) 8; (b) $5.60