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The harvest yield from a certain apple orchard was 350 bushels of appl

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The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from these x trees?

A) \(\frac{x}{35}\)

B) 1–(\(\frac{x}{35}\))

C) 10x

D) 35–x

E) 350–10x

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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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AbdurRakib wrote:
The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from these x trees?

A) \(\frac{x}{35}\)

B) 1–(\(\frac{x}{35}\))

C) 10x

D) 35–x

E) 350–10x

OG 2017 New Question

Dear AbdurRakib,
I'm happy to respond. This kind of word problem intimidates many people, but the actual calculation here is quite straightforward.

A fraction is a part over a whole. The whole is 350 bushels.

Of this set of x special trees, special for some unknown reason, each tree produced 10 bushels. That's 10x bushels from the lot of them. That's the part.

fraction = \(\frac{10x}{350}\) = \(\frac{x}{35}\)

Answer = (A)

Does this make sense?
Mike :-)
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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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New post 15 Jun 2016, 00:41
Total yield by x trees = 10x
So, fraction of the harvest yield from these x trees = 10x/350 = x/35
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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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New post 27 Jul 2016, 10:52
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Here are a couple of ways to solve this question:


Value Substitution:



Algebra:

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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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AbdurRakib wrote:
The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from these x trees?

A) \(\frac{x}{35}\)

B) 1–(\(\frac{x}{35}\))

C) 10x

D) 35–x

E) 350–10x

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What fraction of the TOTAL harvest 'x' trees yield. That means harvest from x trees/total harvest

harvest from x trees= 10x (each of x trees yield 10 bushels)
Total harvest= 350

ratio= 10x/350= x/35

A is the answer
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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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Yield of x trees = 10 bushels * x = 10x bushels
Yield of orchard = 350 bushels

Fraction yield of x trees = 10x/350 = x/35

Ans. A
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The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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New post 05 Aug 2017, 07:48
AbdurRakib wrote:
The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from these x trees?

A) \(\frac{x}{35}\)

B) 1–(\(\frac{x}{35}\))

C) 10x

D) 35–x

E) 350–10x

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I did it algebraically but wanted to check accuracy.

Let x number of trees = 7. (I wanted a round result with 350 in the denominator. 70/350 works.)

Each tree produces 10 bushels. Total for x trees is 70 bushels.

Fraction of total (from these 7 trees) is 70/350 or 7/35.

Using x = 7, find the answer that yields 7/35. That is Answer A.

Others can be eliminated quickly. Answer C, D, and E don't yield fractions. With x = 7, Answer B can be calculated quickly; it equals 93/100. Incorrect.

Answer A
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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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New post 14 Sep 2017, 22:29
x of the trees in the orchard each yielded 10 bushel of apples
means x*10,
total there are 350 apples
so answer should be x*10/350
so answer should be x/35
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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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New post 21 Sep 2017, 14:52
AbdurRakib wrote:
The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from these x trees?

A) \(\frac{x}{35}\)

B) 1–(\(\frac{x}{35}\))

C) 10x

D) 35–x

E) 350–10x



We are given that the harvest yield from a certain apple orchard was 350 bushels of apples and that x trees in the orchard each yielded 10 bushels of apples. Thus, those x trees yielded 10x bushels of apples, and therefore, those x trees yielded 10x/350 = x/35 of the harvest.

Answer: A
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The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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New post 29 Oct 2017, 05:09
mikemcgarry wrote:
AbdurRakib wrote:
The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from these x trees?

A) \(\frac{x}{35}\)

B) 1–(\(\frac{x}{35}\))

C) 10x

D) 35–x

E) 350–10x

OG 2017 New Question

Dear AbdurRakib,
I'm happy to respond. This kind of word problem intimidates many people, but the actual calculation here is quite straightforward.

A fraction is a part over a whole. The whole is 350 bushels.

Of this set of x special trees, special for some unknown reason, each tree produced 10 bushels. That's 10x bushels from the lot of them. That's the part.

fraction = \(\frac{10x}{350}\) = \(\frac{x}{35}\)

Answer = (A)

Does this make sense?
Mike :-)


hey Mike :-) these word problems with variables drive me insane :) here is my solution,

let number x of the trees in the orchard each yielded 10 bushel of apples BE 10X

Let the total number be Y

total number 350

10x+y = 350
10x= 350-y (divide both parts by 10)
x = 35-y

so I where am I wrong ? :-) can you advice some materials for word problems ? :)
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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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dave13 wrote:
hey Mike :-) these word problems with variables drive me insane :) here is my solution,

let number x of the trees in the orchard each yielded 10 bushel of apples BE 10X

Let the total number be Y

total number 350

10x+y = 350
10x= 350-y (divide both parts by 10)
x = 35-y

so I where am I wrong ? :-) can you advice some materials for word problems ? :)

Dear dave13,

I'm happy to respond. :-)

Point #1: My friend, in word problems, each word has to be regarded with the same precision that we use on numbers in math. Everything about math is precision, both the words and the numbers. Here is the prompt again:
The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from these x trees?
I think you did not read the prompt question carefully. It was asking for a fraction, for a part over whole. It was NOT asking you to solve for x. If you go looking for something other than what the question asks, you will not be successful on that question.

Point #2: don't introduce new variables when you don't have to. You can introduce a variable for a quantity for which you are going to solve, but don't introduce variables for extra pieces of the problem. Think about it. If the bushels from the x trees is 10x bushels, and the total number of bushels is 350, then if we needed it, the number of bushels from the remaining trees would be (350 - 10x). No need for a new variable. Be very stingy with introducing variables: don't introduce a new one unless you absolutely have to.

Point #3: when you introduce new variables, also strive for precision. Here's what you wrote:
Let the total number be Y

total number 350

You have two different "total numbers" specified there, and it's not clear their referents: total number of what?? It's not clear to me that you yourself are 100% clear on what the Y is, what the 350 is, and how they are different even though they are "total numbers."

One piece of advice is to be as precise as possible in every step. Read the prompt slowly, maybe two or three times, to double-check that you understand exactly what it is and isn't asking. Make sure every variable you use in your solution is identified with surgical accuracy.

A whole other category of advice I am going to give is as follows: research and practice mindfulness. Mindfulness is a set of practices that will slow you down, allow you to release stress, and make you better able to focus on exactly what is in front of your face. A friend of mine offers these services:
Mindful Test Taking
Those skills will help you a great deal on math, and they also will make you happier overall.

Does all this make sense?
Mike :-)
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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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New post 16 Jan 2018, 13:46
Hi All,

This question can be solved by TESTing VALUES.

We're told that the total yield from an orchard or trees was 350 bushels. We're also told that X of the trees yielded 10 bushels each. We're asked for the FRACTION of the total that was yielded from the X trees.

IF... X = 2... then 2(10) = 20 of the 350 bushels came from those X trees. Thus, we're looking for an answer that equals 20/350 = 20/35 when X=2. There's only one answer that matches...

Final Answer:
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New post 17 Mar 2018, 03:59
pushpitkc niks18 Hatakekakashi
amanvermagmat Bunuel chetan2u

Quote:
The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from these x trees?


Can question be simplified to:

If each of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from each of these tree?

Seems a bit more easier to understand. ;)
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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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New post 17 Mar 2018, 04:20
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adkikani wrote:
pushpitkc niks18 Hatakekakashi
amanvermagmat Bunuel chetan2u

Quote:
The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from these x trees?


Can question be simplified to:

If each of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from each of these tree?

Seems a bit more easier to understand. ;)


Hi adkikani

I am afraid we cannot say that "Each" of the tree yielded 10 bushel. The question mentions the yield of only "x" trees, remaining tree can have different yield for e.g remaining tress could yield 9 or 11 or any other bushels each
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Re: The harvest yield from a certain apple orchard was 350 bushels of appl [#permalink]

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New post 17 Mar 2018, 04:47
adkikani wrote:
pushpitkc niks18 Hatakekakashi
amanvermagmat Bunuel chetan2u

Quote:
The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from these x trees?


Can question be simplified to:

If each of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from each of these tree?

Seems a bit more easier to understand. ;)


Agree with what niks18 had to say

For this question harvest of x trees is asked

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Re: The harvest yield from a certain apple orchard was 350 bushels of appl   [#permalink] 17 Mar 2018, 04:47
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