Pat bought both carrots and onions from a store. If each carrot cost $

Question

Pat bought both carrots and onions from a store. If each carrot cost $1.10, each onion cost $0.50, and the purchase of carrots and onions totaled $11.00, what total number of carrots and onions did Pat buy?

A. 10
B. 11
C. 12
D. 13
E. 16

A. 10
B. 11
C. 12
D. 13
E. 16

ILMENF · Answer

A) Works, 10 carrots, 0 onions, total 11$. But Bonuel said that both were bought.

So...
11$ has no decimals, start with carrots. The only number that works is 5, to get 5.5$.

You have 5.5$ left. 5.5/0.5 is 55/5 or 11.

11+5 = 16

Therefore,

E

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TheNightKing · Answer

1.1c+0.5o=11$
Now you know there is a unique solution to this equation. So either you can try all possible combinations or you can realize that the total is an integer. So the gap between the two which 0.6$ must come to an integer. So 0.6*5 gives you 3$. So the gap between (c and o) must be 5 at the least. 11 of onion and 5 of carrots give you 5.5+5.5=11.
Hence E.

Abhishek009 · Answer

Loved the question

1.10c + 0.50n = 11.00 Check the red part multipled by any whole number will result in amount as - 1.1 * 1 = 1.1 ( 11 - 1.1 is not divisible by 0.50) 1.1 * 2 = 2.2 ( 11 - 2.2 is not divisible by 0.50) 1.1 * 3 = 3.3 ( 11 - 3.3 is not divisible by 0.50) 1.1 * 4 = 4.4 ( 11 - 4.4 is not divisible by 0.50) 1.1 * 5.5 = 5.5 , ( 11 - 5.5 is divisible by 0.50) 11.0 - 5.5/0.5 = 11 So, We have 5 Carrots and 11 Onions, so PAT can buy 16 items, Answer must be (E)

TheNightKing · Answer

Yes. It looks an easy one. But it is a good and a tricky one

Thank you!

Abhishek009 · Answer

Check this out - https://www.gmatfree.com/module-10/carro ... lanation=1

TheNightKing · Answer

Nice.! I have solved it and have mentioned my approach just before your Post.

I guess the fact that it is a PS question and you know that it will have a unique solution itself makes the question a bit easier.

Bunuel · Answer

Video Explanation

WFyaGjcgcYE

bumpbot · Answer

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Pat bought both carrots and onions from a store. If each carrot cost $

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Pat bought both carrots and onions from a store. If each carrot cost $

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