Question

Use the three steps to solve the problem.

One number is 800 less than 3 times the other, and their sum is 1,200. Find the numbers.

Answer 1

One number is x. The other number is expressed in terms of this number, in terms of x. So, the other number is 3x - 800. Add both together and set to 1200. Solve for x.

Answer 2

???

Answer 3

Where are you stuck?

Answer 4

i dont understand none of it :(

Answer 5

Ok, from the very start. You are being asked to add two numbers and get 1200. So, an initial equation could be x + y = 1200. This follows follows from "...and their sum is...". Do you follow?

Answer 6

yes

Answer 7

One number is x and the other is y, but you can express y in terms of x.

Answer 8

let x be the number then less than means subtract
i think 800-3x=0......1
800+3x=1200...........2

solve further

Answer 9

As I pointed out in the first post, the second number, y, is 3x - 800.

Answer 10

okay

Answer 11

So, add x and 3x - 800 and set that = 1200.

Answer 12

262

Answer 13

938

Answer 14

Well, you have x + (3x - 800) = 1200 -> (x + 3x) - 800 = 1200 -> 4x - 800 = 1200. Can you find x from here?

Answer 15

Add 800 to each side.

Answer 16

idk this is to confusing

Answer 17

Are you having trouble adding 800 to each side of the equation 4x - 800 = 1200?

Answer 18

ik how to add just this problem is so confusing

Answer 19

200??

Answer 20

Any problem can be hard if there are a lot of steps and you desire to go from step 1 right to step 10 or step 15. Problems definitely do get easier when you go only to the next step. You will eventually get there, but it isn't always quick. In the beginning, you have to do all the steps, but then it gets easier because you can then either skip a couple steps or just do them faster with practice.

Answer 21

4x - 800 = 1200 -> 4x = 2000 -> x = 500. So 500 is one of your numbers. Can you get the other number?

Answer 22

Hint, they add to 1200. So, 500 + y = 1200.

Answer 23

okay 700

Answer 24

Yes, you got it! It is helpful to go back to the original problem and then you will be able to see how those numbers satisfy both conditions.

Answer 25

thank you

Answer 26

Before you go, one question.

Answer 27

ya?

Answer 28

Do you find that you are getting this even a little better now? The whole goal is for students to learn a little bit and feel more comfortable with math. Too often some go throughout life with an uneasiness about math, and they wish they didn't.

Answer 29

yes i think i am getting a little bit better

Answer 30

The solving of problems does help in many ways, one of which is general problem-solving, even outside of math, acquiring a certain amount of discipline and just feeling good. You're a nice person and I hope you do well in life.

Answer 31

thanks and u too