Question

Kristen has 391 sweets and 323 candies that she needs to divide into the largest possible equal number of goodie bags such that there are same number of sweets and candies in each bag. Find the number of bags for each category.

• A. 23 bags of sweets and 19 bags of candies
• B. 23 bags of sweets and 17 bags of candies
• C. 19 bags of sweets and 23 bags of candies
• D. 17 bags of sweets and 23 bags of candies

Answer 1

The correct option is A 23 bags of sweets and 19 bags of candies

The largest possible number of candies and sweets in a bag is given by the H.C.F. of 391 and 323, i.e., 17.

∴ Number of bags of sweets
$=\frac{391}{17}=23$

Number of bags of candies
$=\frac{323}{17}=19$