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18 May 2017, 19:13
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
74% (02:03) correct
26%
(02:52)
wrong
based on 249
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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
A. 30
B. 60
C. 90
D. 120
E. 150
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: \(\frac{almonds}{cashews} = \frac{2x}{3x}\);
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.
18 May 2017, 23:00
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Kritesh
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
22 May 2017, 18:58
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Kritesh
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
