Question : In a bag containing red, green, and blue pens, the ratio of red, blue, and green pens, in the given order, was 7 : 4 : 9. If the total number of pens in the bag was 320, how many of them were red?
Option 1: 112
Option 2: 105
Option 3: 119
Option 4: 126
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Correct Answer: 112
Solution :
The ratio of red, blue, and green pens = 7 : 4 : 9
Total number of pens = 320
Let the number of red, blue, and green pens be $7x, 4x$, and $9x$ respectively.
⇒ $7x+4x+9x = 320$
⇒ $20x = 320$
⇒ $x = 16$
$\therefore$ Number of red pens = 7$\times$16 = 112.
Hence the correct answer is 112.
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