Question

kuta software - infinite grade 6 math
gcf and lcm word problems
solve each problem.

1. natalie is filling goody bags. she has 40 bouncy balls and 30 tattoos. she wants to divide the toys evenly to make the greatest number of identical goody bags, with no leftover toys. how many goody bags can she fill?

Explanation:

Step 1: Identify the problem type

This problem is about finding the greatest number of identical groups (goody bags) we can make from two quantities (40 bouncy balls and 30 tattoos) with no leftovers. This requires finding the greatest common factor (GCF) of 40 and 30.

Step 2: List the factors of 40

The factors of 40 are the numbers that divide 40 without leaving a remainder.
\(1, 2, 4, 5, 8, 10, 20, 40\)

Step 3: List the factors of 30

The factors of 30 are the numbers that divide 30 without leaving a remainder.
\(1, 2, 3, 5, 6, 10, 15, 30\)

Step 4: Identify the common factors

The common factors of 40 and 30 are the numbers that appear in both lists of factors.
Common factors: \(1, 2, 5, 10\)

Step 5: Find the greatest common factor

From the common factors \(1, 2, 5, 10\), the greatest one is 10.

Answer:

10