Question

Question 1 (5 points)

One line segment is 5 cm more than 4 times the length of another. The difference in their lengths is 35 cm. How long
are they?
​

Answer 1

10 cm and 45 cm.

Explanation:

Okie dokie, let's get started :)

So let's call the smaller line segment s.

Because one line segment is 4 times the smaller line segment, plus another 5 cm, it will look like 4s + 5.

Also, the difference in their lengths is 35 cm, which means we need a subtraction equation, so it will look like this:

35 = 4s + 5 -s

We need to isolate s so we have to subtract 5 from both sides:

30 = 4s - s

Now we combine the like terms:

30 = 3s

Finally, we divide by 3 on both sides:

S =10

But we're not done yet :)

So now we know that the smaller line segment is 10, but the other one is 4 times as large, so we get 40 plus another 5, which means the larger line segment is 45 cm. :)