Anna has made 30 chocolate chip cookies and 54 sugar cookies. She wants to put them in bags for her friends with the same number of cookies in each bag, the same kind of cookies in each bag, and no cookies left over. What is the greatest number of cookies she can put in each bag?

Therefore the greatest number of cookies she can put each bag is 14.

Step-by-step explanation:

Given that Anna has made 30 chocolate chip cookies and 54 sugar cookies.

First we have to find out the number of fried or the number of bags.

So to find the number of bags, We need to find out the G.C.D of 30 and 54.

30=5×3×2

54=3×3×3×2

The common divisor of 30 and 54 is = 3×2 = 6

∴The  G.C.D of 30 and 54 is 6.

The number of bags is 6.

The number of chocolate cookies each bags is

=(The number of chocolate cookies÷ 6)

=30÷6

=5

The number of sugar cookies each bags is

=(The number of sugar cookies÷ 6)

=54÷6

=9

Therefore the greatest number of cookies she can put each bag is (5+9)=14.