Blue pens come in packages of 2 and black pens come in packages of 5.
what is the fewest total number of packages you can buy to have equal numbers of blue and black pens?
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α.
6
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β. 8
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c. 7
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d. 14

Option (C)  

The fewest total number of packages you can buy to have equal numbers of blue and black pens is 7

Solution:

Given that blue pens comes in packages of 2 and black pens come in package of 5.

We need to evaluate fewest total number of packages, so that we can have equal number of blue and black pens.

1 pack of blue pen = = 2 blue pens

2 pack of blue pen = = 4 blue pens

3 pack of blue pen = = 6 blue pens

4 pack of blue pen = = 8 blue pens

5 pack of blue pen = = 10 blue pens

Now let’s look on data of black pen,

1 pack of black pen = = 5 black pens

2 pack of black pen = = 10 black pens

So from above data, we can say that 5 pack of blue pens and 2 packs of black pens will have 10 blue pens and 10 black pens.

So total number of packages = 5 pack of blue pen + 2 pack of black pen

= 7 packs

Hence we need to buy at least 7 packages, 5 of blue pens and 2 of black pens so that we can have equal number of blue and black pens. Hence option (C) is correct.

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Step-by-step explanation: