Question

Pat bought 5 pounds of apples. How many pounds of pears could Pat have bought for the same amount of money?

1) 1 pound of pears cost $0.5 more that 1 pound of apples2) 1 pound of pears cost 1.5 times as much as 1 pound of apples

Answer 1

0.33 pounds of pears

Step-by-step explanation:

Let the price of 1 pound of apple (Pa) be = $1

1. So, price / pound of pear (Pp) = 0.5 more = $1 + $0.5 = $1.5

Expenditure (E) on 5 pounds of apples = P x Q = 5 x $1 = $5

Pears pounds purchase-able by same amount i.e $5 = E/ Pp = 5 /1.5= $0.33

2. ∵ Pa = $1 , ∴ Pp = 1.5 times = $1.5

E on 5 Pa = $5

Pears pounds purchase-able by same amount i.e $5 = E/ Pp = 5 /1.5= $0.33