Question

Gina's mother bought 200 lollipops and 150 pencils for goody bags for Gina's birthday. What is the largest number of goody bags that Gina can make to get the same number of lollipops and the same number of pencils in each goody bag? (All lollipops and pencils should be used).

Answer 1

Answer:

In total maximum  50 goodies bags can be made, such that:

Step-by-step explanation:

Here, the total number of lollipops  = 200

The total number of pencils  = 150

Now, let us find the Highest Common Factor (HCF) of 200 and 150,

Here, 200  = 2 x 2  x 2 x 5 x 5

and, 150  = 2 x 3 x 5 x 5

SO, HCF of  200 and 150  = 2 x 5 x 5 = 50

Hence, in total 50 goodies bags can be made, such that:

1 bag  = 200 ÷ 50 = 4 lollipops

and  1  bag  = 150 ÷  50 = 3 pencils

⇒  1 bag  = 4 lollipop + 3 pencil =7 items.