Your little cousin will have a big animal-themed birthday party and you will help with the goody bags. Each bag will have a pencil, an eraser, and a mini notebook. You searched online and found some cute pencils, erasers, notebooks, and bags to go with the party theme. The pencils come in packages of 10, erasers in packages of 6, mini-notebooks in packages of 15, and bags in packages of 12. a: How many packages of each should you buy, in order to fill each goody bag and have no leftovers?

b: How many filled goody bags will there be?

Using the least common factor, it is found that:

Item a:

10 - 6 - 15 - 12|2

5 - 3 - 15 - 6|2

5 - 3 - 15 - 3|3

5 - 1 - 5 - 1|5

1 - 1 - 1 - 1

Hence, lcf(10,6,15,2) = 2 x 2 x 3 x 5 = 60.

60 packages should be bought.

Item b:

Goody bags are in packages of 12, hence:

60/12 = 5.

There will be 5 filled goody bags.

To learn more about the least common factor, you can take a look at

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.