I didn't understand statement 2Pat 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 $0.5 more that 1 pound of apples.
If 1 pound of pears cost $1 and 1 pound of apples cost $0.5, then the cost of 5 pounds of apples is 5*0.5=$2.5. For $2.5 we can buy 2.5/1=2.5 pounds of pears.
If 1 pound of pears cost $1.5 and 1 pound of apples cost $1, then the cost of 5 pounds of apples is 5*1=$5. For $5 we can buy 5/1.5=10/3 pounds of pears.
(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples. The cost of 5 pounds of apples is $5a (where a is the cost of 1 pound of apples). For $5a we can buy 5a/(1.5a)=5/1.5 pounds of pears. Sufficient.
Hope it's clear.
Can you please correct my approach of solving this question.
5 pound of apple cost x
1 pound of apple cost x/5
1 pound of pear would have cost x/5 + 0.5$. Since x is unknown . Hence not sufficient
1 pound of pear cost 3/2(x/5).
Here, now i thought that since x is still unknown its not sufficient.
Combining both also doesnt give value for x. Hence my answer was E which is incorrect,
Can you please solve this question using my approach. If its correct