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Kritesh
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The present ratio of almonds to cashews in a certain can of nuts is 18 May 2017, 19:13
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E
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35% (medium)

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72% (02:05) correct 28% (02:51) wrong based on 176 sessions

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The present ratio of almonds to cashews in a certain can of nuts is 2 to 3. If 45 almonds and 30 cashews were to be added to the can, the ratio of almonds to cashews would be 7 to 8. What is the present number of nuts in the can?

A. 30
B. 60
C. 90
D. 120
E. 150
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E
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The present ratio of almonds to cashews in a certain can of nuts is 18 May 2017, 20:41
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Kritesh
The present ratio of almonds to cashews in a certain can of nuts is 2 to 3. If 45 almonds and 30 cashews were to be added to the can, the ratio of almonds to cashews would be 7 to 8. What is the present number of nuts in the can?

A. 30
B. 60
C. 90
D. 120
E. 150
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The present ratio of almonds to cashews in a certain can of nuts is 2 to 3: \(\frac{almonds}{cashews} = \frac{2x}{3x}\);

If 45 almonds and 30 cashews were to be added to the can, the ratio of almonds to cashews would be 7 to 8: \(\frac{2x+45}{3x+30}=\frac{7}{8}\) --> x = 30.

What is the present number of nuts in the can? Present number = 2x + 3x = 5x = 150.

Answer: E.
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The present ratio of almonds to cashews in a certain can of nuts is 18 May 2017, 23:00
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Kritesh
The present ratio of almonds to cashews in a certain can of nuts is 2 to 3. If 45 almonds and 30 cashews were to be added to the can, the ratio of almonds to cashews would be 7 to 8. What is the present number of nuts in the can?

A. 30
B. 60
C. 90
D. 120
E. 150
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Let number of almonds and cahsew be 2x and 3x respectively.

Using statement number two:

(2x+ 45): (3x+30)= 7: 8

Now solve this ratio for x. When you solve this, x will come out to be 30.

Originally, number of nuts was cashews+almonds ie 2x+3x which is nothing but 5x.
So total number of nuts is 5x30 = 150
So OA is E
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The present ratio of almonds to cashews in a certain can of nuts is 22 May 2017, 18:58
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Kritesh
The present ratio of almonds to cashews in a certain can of nuts is 2 to 3. If 45 almonds and 30 cashews were to be added to the can, the ratio of almonds to cashews would be 7 to 8. What is the present number of nuts in the can?

A. 30
B. 60
C. 90
D. 120
E. 150
Show more

We have that the ratio of almonds to cashews = 2x : 3x

We are given that if 45 almonds and 30 cashews were to be added to the can, the ratio of almonds to cashews would be 7 to 8. We can create the following equation to determine x:

(2x + 45)/(3x + 30) = 7/8

8(2x + 45) = 7(3x + 30)

16x + 360 = 21x + 210

150 = 5x

x = 30

So, there are currently 2(30) + 3(30) = 60 + 90 = 150 nuts in the can.

Answer: E
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The present ratio of almonds to cashews in a certain can of nuts is 27 Mar 2021, 00:32
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