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# Pete has some apples. He sold 40% more than he ate. If he sold 70 appl

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Math Expert
Joined: 02 Sep 2009
Posts: 56306
Pete has some apples. He sold 40% more than he ate. If he sold 70 appl  [#permalink]

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10 Jan 2016, 08:38
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Difficulty:

5% (low)

Question Stats:

88% (01:03) correct 13% (01:13) wrong based on 58 sessions

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Pete has some apples. He sold 40% more than he ate. If he sold 70 apples, how many did he eat?

A. 90
B. 50
C. 42
D. 28
E. 6

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Joined: 02 Jun 2015
Posts: 62
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Re: Pete has some apples. He sold 40% more than he ate. If he sold 70 appl  [#permalink]

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10 Jan 2016, 10:45
Bunuel wrote:
Pete has some apples. He sold 40% more than he ate. If he sold 70 apples, how many did he eat?

A. 90
B. 50
C. 42
D. 28
E. 6

Equation
1.4x=70
x=70/1.4=50

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Re: Pete has some apples. He sold 40% more than he ate. If he sold 70 appl  [#permalink]

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14 Jan 2016, 00:15
1
Hi All,

This question can be solved by TESTing THE ANSWERS.

We're told that Pete has some apples, he sold 40% more than he ate and that he sold 70 apples. We're asked how many he ate.

Since he sold 40% MORE than he ate, and he sold 70 apples, the number of apples that he ate must be LESS than 70. Also, the answer will likely have to be a 'nice round number' (so that we can increase it by 40% and end up with 70 - which is a nice round number).

Let's TEST Answer B: 50 apples

IF....
Pete ate 50 apples, then...
(1.4)(50) = 70 apples were sold.
This is an exact MATCH for what we were told, so this MUST be the answer.

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Rich
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Re: Pete has some apples. He sold 40% more than he ate. If he sold 70 appl  [#permalink]

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23 Mar 2018, 08:09
Top Contributor
Bunuel wrote:
Pete has some apples. He sold 40% more than he ate. If he sold 70 apples, how many did he eat?

A. 90
B. 50
C. 42
D. 28
E. 6

ASIDE: Once we know that x = 70/1.4, we have a few ways to evaluate this. Here's one way....
x = 70/1.4
= 700/14 (I multiplied top and bottom by 10 to eliminate the decimal)
= 100/2 (I divided top and bottom by 7)
= 50

Cheers,
Brent
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Re: Pete has some apples. He sold 40% more than he ate. If he sold 70 appl  [#permalink]

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26 Mar 2018, 17:46
Bunuel wrote:
Pete has some apples. He sold 40% more than he ate. If he sold 70 apples, how many did he eat?

A. 90
B. 50
C. 42
D. 28
E. 6

We can let the number of eaten apples = n and create the equation:

1.4n = 70

n = 50

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Re: Pete has some apples. He sold 40% more than he ate. If he sold 70 appl   [#permalink] 26 Mar 2018, 17:46
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