Question

Kendra has 7 bags of beads. Some of the bags contain 3 teal beads and the rest contain 10 orange beads. If Kendra has 42 beads in all, how many bags of each color bead does Kendra have?

Answer 1

Kendra has 4 bags of teal beads and 3 bags of orange beads. This was determined by setting up and solving a system of equations based on the total number of bags and the total number of beads.

Step-by-step explanation:

The question involves Kendra who has 7 bags of beads with either 3 teal beads or 10 orange beads per bag, and a total of 42 beads. To find the number of bags of each color, we can set up a system of equations. Let T represent the number of bags with teal beads and O represent the number of bags with orange beads.

1. Since Kendra has 7 bags in total, we can write the first equation as T + O = 7.
2. The second equation is formed based on the total number of beads: 3T + 10O = 42.

Now we can solve this system of equations. First, multiply the first equation by 3 to get 3T + 3O = 21 and then subtract this new equation from the second equation to eliminate T: 10O - 3O = 42 - 21, which simplifies to 7O = 21. Solving for O gives us O = 3. Now we can find T by substituting O in the first equation: T + 3 = 7, which gives us T = 4.

Therefore, Kendra has 4 bags of teal beads and 3 bags of orange beads.