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In a forest, the ratio of pine trees to maple trees is 3:4, and the ra 31 Jan 2017, 18:06
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In a forest, the ratio of pine trees to maple trees is 3:4, and the ratio of sycamore trees to maple trees is 4:5. If there are ten more sycamore trees than pine trees in the forest, how many pine trees are in the forest?

A. 150
B. 180
C. 190
D. 210
E. 240
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A
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In a forest, the ratio of pine trees to maple trees is 3:4, and the ra 31 Jan 2017, 18:33
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In a forest, the ratio of pine trees to maple trees is 3:4, and the ratio of sycamore trees to maple trees is 4:5. If there are ten more sycamore trees than pine trees in the forest, how many pine trees are in the forest?

A. 150
B. 180
C. 190
D. 210
E. 240
Show more

P:M=3:4..
S:M=4:5..

Get both ratios for M in same value..
So multiply P:M by 5 and S:M by 4..
P:M = 15:20....
S:M = 16:20..
Thus P:S = 15:16...

Now there are 10 more S than P...
So 16-15 or each UNIT is 10..
P is 15 UNITS, so 15*10=150

A
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In a forest, the ratio of pine trees to maple trees is 3:4, and the ra 31 Jan 2017, 21:31
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Suppose,
pine = 15x
Mapple = 20x
sycamore = 16x

therefore, sycamore - pine = 16x - 15x = x = 10;
SO pine tree = 15x = 150. Answer A.

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In a forest, the ratio of pine trees to maple trees is 3:4, and the ra 03 Feb 2017, 12:45
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funnypanks
In a forest, the ratio of pine trees to maple trees is 3:4, and the ratio of sycamore trees to maple trees is 4:5. If there are ten more sycamore trees than pine trees in the forest, how many pine trees are in the forest?

A. 150
B. 180
C. 190
D. 210
E. 240
Show more

We are given that the ratio of pine trees to maples trees is 3:4; thus:

pine : maple = 3x : 4x

We are also given that the ratio of sycamore trees to maples trees is 4:5; thus:

sycamore : maple = 4y : 5y

Since we see that maple = 4x in the first ratio and maple = 5y in the second ratio, we can multiply the first ratio by 5 and the second by 4 to create a three-part ratio.

pine : maple = 5(3x : 4x) = 15x : 20x

sycamore : maple = 4(4y : 5y) = 16y : 20y

Since the number of maple trees is the same in either ratio, we have 20x = 20y or x = y. Therefore, we can rewrite the ratio of sycamore to maple as:

sycamore : maple = 16x : 20x

Thus, we can write:

pine : maple : sycamore = 15x : 20x : 16x

Finally, since there are 10 more sycamore trees than there are pine trees, we can create the following equation to determine x:

16x = 10 + 15x

x = 10

Since x = 10, there are 15 x 10 = 150 pine trees.

Answer: A
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In a forest, the ratio of pine trees to maple trees is 3:4, and the ra 04 Feb 2017, 09:25
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funnypanks
In a forest, the ratio of pine trees to maple trees is 3:4, and the ratio of sycamore trees to maple trees is 4:5. If there are ten more sycamore trees than pine trees in the forest, how many pine trees are in the forest?

A. 150
B. 180
C. 190
D. 210
E. 240
Show more

p : m = 3x : 4x

s : m = 4x : 5x ( or, m : s = 5x : 4x )

p : m : s = 15x : 20x : 16x

Now, 16x - 15x = 10

So, x = 10

Hence, total number of pine trees is 15*10 = 150 Pine trees...

Thus, answer will be (A) 150 !!
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In a forest, the ratio of pine trees to maple trees is 3:4, and the ra 21 Feb 2017, 05:27
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3. Fractions, Decimals, Ratios and Proportions



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In a forest, the ratio of pine trees to maple trees is 3:4, and the ra 21 Feb 2017, 06:09
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Bunuel
In a forest, the ratio of pine trees to maple trees is 3:4, and the ratio of sycamore trees to maple trees is 4:5. If there are ten more sycamore trees than pine trees in the forest, how many pine trees are in the forest?

A. 150
B. 180
C. 190
D. 210
E. 240
Show more

Learn to combine the ratios for this questions

Answer: option A
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In a forest, the ratio of pine trees to maple trees is 3:4, and the ra 21 Feb 2017, 07:56
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Bunuel
In a forest, the ratio of pine trees to maple trees is 3:4, and the ratio of sycamore trees to maple trees is 4:5. If there are ten more sycamore trees than pine trees in the forest, how many pine trees are in the forest?

A. 150
B. 180
C. 190
D. 210
E. 240
Show more


P/M = 3/4--------------(a)
S/M =4/5 or M/S = 5/4-----(b)

multiply (a) & (b) to get
P/S= 15/16
or S = 16P/15-------(c)

Also given P+10=S

substituting S from (c) we get
P+10= 16P/15
or P=150

Ans A
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In a forest, the ratio of pine trees to maple trees is 3:4, and the ra 21 Feb 2017, 09:00
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Bunuel
In a forest, the ratio of pine trees to maple trees is 3:4, and the ratio of sycamore trees to maple trees is 4:5. If there are ten more sycamore trees than pine trees in the forest, how many pine trees are in the forest?

A. 150
B. 180
C. 190
D. 210
E. 240
Show more

P : M = 3x : 4x => 15x : 20x
S : M = 4x : 5x +> 16x : 20x

So, P : M : S = 15x : 20x : 16x

Now, 16x - 15x = 10

Or, x = 10

So, No of Pine trees is 15*10 = 150

Thus, answer will be (A) 150
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In a forest, the ratio of pine trees to maple trees is 3:4, and the ra 23 Feb 2017, 10:36
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Bunuel
In a forest, the ratio of pine trees to maple trees is 3:4, and the ratio of sycamore trees to maple trees is 4:5. If there are ten more sycamore trees than pine trees in the forest, how many pine trees are in the forest?

A. 150
B. 180
C. 190
D. 210
E. 240
Show more

We are given that the ratio of pine trees to maple trees is 3:4 and that the ratio of sycamore trees to maple trees is 4:5. Thus:

pine trees : maple trees = 3 : 4

and

sycamore trees : maple trees = 4 : 5

Since we have maples trees in both ratios (4 and 5), let’s use the LCM of 4 and 5, which is 20, to equate the two ratios.

We can multiply the entire first ratio by 5 and the entire second ratio by 4, and we have:

pine trees : maple trees = 15 : 20

and

sycamore trees : maple trees = 16 : 20

Thus, our three-part ratio becomes:

pine trees : maple trees : sycamore tree = 15 : 20 : 16

or

pine trees : maples trees : sycamore tree = 15n : 20n : 16n (in which n is a multiplier)

Since there are ten more sycamore trees than pine trees, we have:

16n = 15n + 10

n = 10

Thus, there are 15 x 10 = 150 pine trees.

Answer: A
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