the number of years that Brad has been on the soccer team is less then 5 times the number of years that Scott has in total the boys have been on the soccer team for 10years

Answer 1

Interesting question!

This has two parts: an inequality and an equation. We don't know the number of years either Brad or Scott have been on the soccer team, so we'll assign them variables:

1. b for Brad and s for Scott

Now we'll look at each part:

The number of years Brad has been on the soccer team is "less than 5 times the number of years that Scott has". This is an inequality that we can write as:

b < 5s

Now let's look at the next part:

"In total, the boys have been on the soccer team for 10 years". This gives us the equation:

b + s = 10

Now let's use them together. First we'll solve that equation for b:

b + s = 10

Subtract s from both sides

b = 10 - s

Now we'll substitute 10 - s in place of b in the inequality:

(10 - s) < 5s

Add s to both sides

10 < 6s

Divide by 6

10/6 < s OR 5/3 < s

We can round 5/3 to 1.67

This means that Scott has been playing soccer for more than 1.67 years.

If Scott has been on the team for 2 years, Brad has been on the team for 8.

If Scott has been on the team for 3 years, then Brad has been on for 7 years.

However, Scott has not been on the team less than 1.67 years, so we cannot say that Scott has been on for 1 year and Brad for 9 years.

There are several possible answers, but it must fit the criteria that Scott's time on the team is greater than 1.67 years.

Hope you found this helpful!