Mia needs to separate 270 blue pens and 180 red pens into packs. Each pack will have the same number of blue pens and the same number of red pens. What is the greatest number of…

Question

asked Apr 17, 2017 156k views

1 Answer

Shrivallabh · Answer 1 · 2017-04-21T08:31:23+0000

we know that

$270=2*3^(3) *5\\180=2^(2)*3^(2)*5$

Find the Greatest Common Factor (GCF)

The GCF is equal to------>
2*3^(2)*5=90

therefore

the answer part a) is

the greatest number of packs she can make is

Find the number of red pens in each pack

Divide the total number of red pens by the total number of packs

$(180)/(90)=2\ red\ pens$

Find the number of blue pens in each pack

Divide the total number of blue pens by the total number of packs

$(270)/(90)=3\ blue\ pens$

therefore

the answer part b) is

There are
$2\ red\ pens$ in each pack

There are
$3\ blue\ pens$ in each pack