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 pensOn Monday,number of packs of black pens sold : number of packs of red pens sold : number of packs of green pens sold = 7 : 3 : 4A total of 212 pens were sold.Work out the number of green pens sold.
Question
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 pensOn Monday,number of packs of black pens sold : number of packs of red pens sold : number of packs of green pens sold = 7 : 3 : 4A total of 212 pens were sold.Work out the number of green pens sold.
Solution
To solve this problem, we first need to understand the ratio of the number of pens sold.
The ratio of the number of packs sold is 7:3:4 for black, red, and green pens respectively. This means for every 7 packs of black pens sold, 3 packs of red pens and 4 packs of green pens are sold.
Next, we need to convert this ratio into the number of pens. We do this by multiplying the ratio by the number of pens in each pack. This gives us:
- Black pens: 7 packs * 2 pens/pack = 14 pens
- Red pens: 3 packs * 5 pens/pack = 15 pens
- Green pens: 4 packs * 6 pens/pack = 24 pens
So, the ratio of the number of pens sold is 14:15:24.
The total number of pens sold is 212. The sum of the ratios is 14 + 15 + 24 = 53.
To find out how many green pens were sold, we need to calculate what part of the total pens sold the green pens represent. We do this by dividing the number of green pens in the ratio by the total ratio and then multiplying by the total number of pens sold:
Green pens sold = (24/53) * 212 ≈ 96
So, approximately 96 green pens were sold.
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