PSLE
A fruit stall sold pears at 70¢ and grapefruits at 40¢ each. Erika bought some pears and Usha bought some grapefruits from the stall. Erika spent $0.80 more than Usha, but had 7 fruits fewer than Usha.

1. How many pears did Erika buy?
2. How much did Usha spend on the grapefruits?

	Pears	Grapefruits
Number	1 u	1 u + 7
Value	0.7	0.4
Total value	0.7 u	0.4 u + 2.8

(a)
Number of pears that Erika bought = 1 u
Number of grapefruits that Usha bought = 1 u + 7

Amount that Erika paid = 0.7 x 1 u = 0.7 u
Amount that Usha paid = 0.4(1 u + 7) = 0.4 u + 2.8

If Usha spent another $0.80, both Usha and Erika would spend the same amount.

0.7 u = 0.4 u + 2.8 + 0.8
0.7 u - 0.4 u = 2.8 + 0.8
0.3 u = 3.6

1 u = 3.6 ÷ 0.3 = 12

Number of pears that Erika bought
= 1 u
= 12

(b)
Amount that Usha spent on the grapefruits
= 0.4 u + 2.8
= 0.4 x 12 + 2.8
= 4.8 + 2.8
= $7.60

Answer(s): (a) 12; (b) $7.60