Question

Claire bought 180 candies and 140 pens for goody bags for her birthday. What is the largest number of goody bags that Claire can make so that each goody bag has the same number of candies and the same number of pens? (All candies and pens should be used.)

Answer 1

Answer: There are 20 goody bags so that Claire can make so that each goody bag has the same number of candies and pens .

Step-by-step explanation:

Since we have given that

Number of candies Claire bought for goody bags for her birthday = 180

Number of pens Claire bought for goody bags for her birthday = 140

We need to find the largest number of goody bags that Claire can make so that each goody bag has the same number of candies and the same number of pens.

So, we will calculate the H.C.F of 180 and 140 i.e.

`\text{Factors of 180}=2^2* 3^* 5\\\\\text{Factors of 140}=2^2* 5* 7\\\\So,\ H.C.F.\text{ of 180 and 140}=20\\`

Hence, there are 20 goody bags so that Claire can make so that each goody bag has the same number of candies and pens .