Find two positive numbers if their ratio is 8:5 and the difference is 150.

1 answer:

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Let's call the two numbers x and y. We can write a system of equations to describe the situation:

5x = 8y

x - y = 150

Let's solve the first equation for x:

x = 8y/5

Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:

(8y/5) - y = 150

Simplify:

3y/5 = 150

3y = 750

y = 250

If y = 250, then x is:

x = 8(250)/5 = 400

The answer is 250 and 400.

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Lila is building a slide for her kids. The ladder is 3 meters tall and the slide is 5 meters long. What is the distance between

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Answer:

Step-by-step explanation: For a problem like this, it’s best to use Pythagorean Theorem which is a^2+b^2=c^2 .

In this problem they gave us a and c already so we are trying to find b.

3^2+?=5^2

9+?=25

25-9=16

Find the square root of 16 which is 4

Answer: The distance between the ladder and the slide is 4 meters

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