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Bunuel
The ratio of programmers to scientists at a company was 8:5 in the year 2000 and 3:4 in the year 2010. If the total number of programmers and scientists at the company was 52 in the year 2000 and 196 in the year 2010, how many more scientists were at the company in 2010 than in 2000?

A. 80
B. 84
C. 88
D. 92
E. 100
Solution:

We can create an equation for the year 2000 as follows:

8x + 5x = 52

13x = 52

x = 4

So there were 5(4) = 20 scientists at the company in 2000.

Similarly, we can create an equation for year 2010, as follows:

3y + 4y = 196

7y = 196

y = 28

So there were 4(28) = 112 scientists at the company in 2010.

Therefore, there were 112 - 20 = 92 more scientists at the company in 2010 than in 2000.

Answer: D
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Year 2000: Total = 52 and Ratio of P : S = 8 : 5 [Total part = 13: \(\frac{52}{13} = 4\)]

=> P = 8 * 4 = 32 and S = 5 * 4 = 20

Year 2010: Total = 196 and Ratio of P : S = 3 : 4 [Total part = 7: \(\frac{196}{7} = 28\)]

=> P = 3 * 28 = 84 and S = 4 * 28 = 112

Scientists 2010 - Scientists 2000= 112 - 20 = 92

Answer D
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