Question

Five times Travis's age plus four times Bailey's age equals 68. Travis's age is also six times Bailey's age. How old is Travis?

Answer 1

By creating and solving a system of equations based on the given information, we find that Travis is 12 years old.

Step-by-step explanation:

We have two equations based on the information provided:

• 5T + 4B = 68 (where T represents Travis's age and B represents Bailey's age)
• T = 6B (because Travis's age is six times Bailey's age)

Let's solve these equations step by step:

1. Substitute the second equation into the first equation: 5(6B) + 4B = 68.
2. Simplify the equation: 30B + 4B = 68.
3. Combine like terms: 34B = 68.
4. Divide both sides by 34 to find B: B = 68 / 34 = 2.
5. Now that we know Bailey's age, calculate Travis's age: T = 6B = 6(2) = 12.

Therefore, Travis is 12 years old.