OA B?

Stmt 1) Not sufficient.
We dont know how much 5 apples cost to say that we can buy this many pounds of pears.
If apples cost 1 per pound, 5 will cost 5 pounds. and pears cost 1.5, then we can buy a 5/1.5. 3.33 pounds.
But if apples cost 2, and pears 2.5 then we can buy 10/2.5 = 4 pounds of pears. So not sufficient'

Stmt 2) Sufficient:
If apples cost a dollars per pound. Then total spent on apples = 5a.
Pears cost 3/2 times apple= 3/2 a.
You can divide and see how many pears you can buy.

I have a doubt. We are not aware 5 pounds of cost of apples. so how we can divide the money with 3/2. pls clarify if I am missing something

5 pounds cost 5a not 5.
So we spent 5a on the apples and we know cost of pears is 3/2a.

IF you know total cost and you know cost of one, you can find how many you bought. right?

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

1) 1 pound of pears cost 50 cents more that 1 pound of apples
2) 1 pound of pears cost 1.5 times as much as 1 pound of apples

An easy approach is to plug in values.

Statement 1: 1 pound of pears cost 50 cents more that 1 pound of apples.
Let apples = $1 per pound, pears = $1.50 per pound.
Cost of 5 pounds of apples = 5*1 = 5.
Number of pears that can be bought for $5 = 5/1.5 = 10/3.

Let apples = $2 per pound, pears = $2.50 per pound.
Cost of 5 pounds of apples = 5*2 = 10.
Number of pears that can be bought for $10 = 10/2.5 = 4.

Since the number of pears is 10/3 in the first case and 4 in the second case, insufficient.

Statement 2: 1 pound of pears cost 1.5 times as much as 1 pound of apples.
Let apples = $1 per pound, pears = (1.5)*1 = $1.50 per pound.
Cost of 5 pounds of apples = 5*1 = 5.
Number of pears that can be bought for $5 = 5/1.5 = 10/3.

Let apples = $2 per pound, pears = (1.5)*2 = $3 per pound.
Cost of 5 pounds of apples = 5*2 = 10.
Number of pears that can be bought for $10 = 10/3.

Since in each case the number of pears is 10/3, sufficient.

The correct answer is B.