Question

4) Lebron is making holiday baskets for a kindergarten class. He wants every basket to be the same with no candy left over. He has 56 packs of Skittles, 70 Reece's Peanut Butter Trees, and 84 Candy Canes. What is the most baskets he can make?​

Answer 1

Lebron can make the most baskets by finding the greatest common divisor of the quantities of each type of candy, which is 14. This means he can make 14 holiday baskets evenly distributed.

Step-by-step explanation:

To determine the most baskets Lebron can make for a kindergarten class, without any candy left over, we need to find the greatest common divisor (GCD) of the number of each type of candy he has: 56 packs of Skittles, 70 Reece's Peanut Butter Trees, and 84 Candy Canes. The GCD of these numbers will tell us the highest number of baskets that can be made where each type of candy is distributed evenly among the baskets with none remaining.

Step 1: List the factors

First, list the factors of each number:

• Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
• Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70
• Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Step 2: Find the common factors

Find the common factors among all three sets:

• Common factors of 56, 70, and 84: 1, 2, 7, 14

Step 3: Identify the Greatest Common Divisor

The greatest of these common factors is 14. Therefore, Lebron can make 14 holiday baskets, with each basket having 4 packs of Skittles, 5 Reece's Peanut Butter Trees, and 6 Candy Canes, with no candy left over.