Question

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?
Ο
Α.
6
Ο
Β. 8
Ο
C. 7
Ο
Ο
D. 14

Answer 1

the answer is C, 7

Explanation:

it is 7 because 2 doesnt go into 5 evenly so you would have to buy 2 packs of black pens (which would equal 10 black pens)

and then to get 10 blue pens you would have to buy 5 packs because 2x5=10 so 5 blue packs plus 2 black packs (2+5) = 7

your welcome.

Answer 2

Option (C)

Answer:

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 =
`1 * 2` = 2 blue pens

2 pack of blue pen =
`2 * 2` = 4 blue pens

3 pack of blue pen =
`3 * 2` = 6 blue pens

4 pack of blue pen =
`4 * 2` = 8 blue pens

5 pack of blue pen =
`5 * 2` = 10 blue pens

Now let’s look on data of black pen,

1 pack of black pen =
`5 * 1` = 5 black pens

2 pack of black pen =
`5 * 2` = 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.