In a large bucket of screws, the ratio of slot screws to Phillips screws is 11 to 4. There are no other varieties of screws in the bucket. If there are 320 Phillips screws in the bucket, what is the total number of screws in the bucket?
A. 320
B. 600
C. 880
D. 1200
E. 1480
OA D
Source: Magoosh
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In a large bucket of screws, the ratio of slot screws to Phillips screws is 11 to 4. There are no other varieties of
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Let's try as follows:BTGmoderatorDC wrote: ↑Thu Oct 29, 2020 5:32 pmIn a large bucket of screws, the ratio of slot screws to Phillips screws is 11 to 4. There are no other varieties of screws in the bucket. If there are 320 Phillips screws in the bucket, what is the total number of screws in the bucket?
A. 320
B. 600
C. 880
D. 1200
E. 1480
OA D
Source: Magoosh
\(SS : PS = 11x : 4x\)
\(4x = 320\)
\(x = 80\).
Total \(= 15 \cdot 80\)
Total = \(1200\)
Therefore, D is the correct answer.
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Solution:BTGmoderatorDC wrote: ↑Thu Oct 29, 2020 5:32 pmIn a large bucket of screws, the ratio of slot screws to Phillips screws is 11 to 4. There are no other varieties of screws in the bucket. If there are 320 Phillips screws in the bucket, what is the total number of screws in the bucket?
A. 320
B. 600
C. 880
D. 1200
E. 1480
OA D
If we let s = the number of slot screws, we can create the proportion:
s/320 = 11/4
4s = 11 x 320
s = 11 x 320 / 4 = 11 x 80 = 880
Therefore, there are a total of 880 + 320 = 1200 screws in the bucket.
Answer: D
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