2 pens in each pack of black pens 5 pens in each pack of red pens 6 pens in each pack of green pens On Monday number of packs sold of black, red and green pens = 7 : 3 : 4 A total of 212 were sold.

The number of green pens sold is 96.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

A shop sells packs of black pens, packs of red pens and packs of green pens. There are:

2 pens in each pack of black pens

5 pens in each pack of red pens

6 pens in each pack of green pens

On Monday, number of packs of black pens sold : number of packs of red pens sold : number of packs of green pens sold = 7:3:4

A total of 212 pens were sold.

Work out the number of green pens sold.

The explanation of the answer is now given as follows:

Since the ratio is given in packs of pens, we have to first convert it to number of pens based on the number of pens in each pack. Therefore, we have:

7:3:4 is converted to (7 * 2) : (3 * 5) : (4 * 6) = 14 : 15 : 24

Based the new ratio, we have:

Weight of contribution of the green pens to the total number of pens sold = 24 / (14 + 15 + 24) = 24 / 53 = 0.452830188679245

The number of green pens sold can now be calculated as follows:

Number of green pens sold = Total pens sold * Weight of contribution of the green pens to the total number of pens sold = 212 * 0.452830188679245 = 96

Therefore, the number of green pens sold is 96.

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