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A shop sells packs of black pens, packs of red pens and packs of green pens - Edexcel - GCSE Maths - Question 7 - 2019 - Paper 1
Question 7
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 ... show full transcript
Worked Solution & Example Answer:A shop sells packs of black pens, packs of red pens and packs of green pens - Edexcel - GCSE Maths - Question 7 - 2019 - Paper 1
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Total pens sold check
Answer
Now let's verify our calculations by summing the total number of pens sold:
Total pens sold = Number of black pens + Number of red pens + Number of green pens = 14 + 15 + 24 = 53 pens.
According to the problem, a total of 212 pens were sold, so the values associated with the respective number of packs must follow a ratio of 7:3:4. We can set up the equations:
Let the common ratio constant be x:
Number of black pens = 7x, Number of red pens = 3x, Number of green pens = 4x.
Since each pack has a specific number of pens, we need to sum these ratios times their respective counts of pens per pack:
Total pens = 2(7x) + 5(3x) + 6(4x) = 212.
Now we can deduce:
14x + 15x + 24x = 212,
53x = 212
=> x = ( rac{212}{53}) = 4.
Substituting back for green pens sold:
Number of green pens sold = 4x × 6 = 96.