# Tutor.com Real Numbers Session

##### Jan. 11, 2014

Session Transcript - Math - Algebra, 12/16/2013 12:17PM - Tutor.comSession Date: 12/16/2013 12:17PM
Length: 23.5 minute(s)
Subject: Math - Algebra

System Message
[00:00:00] *** Please note: All sessions are recorded for quality control. ***

Ameenah (Customer)
[00:00:00] 30% of a number is 120. What is 75% of the number?

steven b (Tutor)
[00:00:03] Hi! Welcome to Tutor.com . My name is Steve. Letâ€™s get started! : )
[00:00:10] Have you been able to start this problem? Or do you know what our first step might be?

Ameenah (Customer)
[00:00:11] Hi
[00:01:15] I think the first step is to convert 30% to a decimal.

steven b (Tutor)
[00:01:23] Very good!
[00:01:26] and what is that decimal?

Ameenah (Customer)
[00:01:41] 0.3

steven b (Tutor)
[00:01:48] Correct!
[00:02:02] how can we use 0.3 to find our number?
[00:02:10] do you think we multiply or divide 0.3 and 120?

Ameenah (Customer)
[00:02:31] multiply

steven b (Tutor)
[00:02:58] Have you started working with variables in your class yet?

Ameenah (Customer)
[00:03:36] im homeschooled but yes I have

steven b (Tutor)
[00:03:47] Okay, let me show you the easiest method
[00:04:02] whenever you see the word "number" just plug in a variable, such as x
[00:04:27] and when you see the word "of" , think multiply

Ameenah (Customer)
[00:04:35] ok
[00:04:40] I'm following...

steven b (Tutor)
[00:04:46] and when you see the word "is", you should think what?

Ameenah (Customer)
[00:05:01] divide

steven b (Tutor)
[00:05:07] that would be "per"
[00:05:12] but "is" is equal to
[00:05:35] so we can translate the word statement into a really simple equation 0.3x = 120
[00:05:38] that part make sense?

Ameenah (Customer)
[00:05:49] yes sir

steven b (Tutor)
[00:05:56] and now, let's solve for x !
[00:06:07] how can we get rid of that 0.3 that is attached to the x?

Ameenah (Customer)
[00:06:18] yes

steven b (Tutor)
[00:07:41] when solving equations, we cancel out terms by doing the opposite operation.
[00:07:58] What is the opposite of multiplying x by 0.3?

Ameenah (Customer)
[00:08:21] dividing

steven b (Tutor)
[00:08:27] Very true
[00:08:37] let's find 120 divide by 0.3
[00:08:44] can you do that calculation for us?

Ameenah (Customer)
[00:10:01] X = 40

steven b (Tutor)
[00:10:24] that's close!
[00:10:29] 12/0.3 is 40
[00:10:34] but we have 120/0.3

Ameenah (Customer)
[00:10:44] oh

steven b (Tutor)
[00:10:49] are you using a calculator or working it out yourself?

Ameenah (Customer)
[00:11:05] 0.0025
[00:11:18] calculaor

steven b (Tutor)
[00:11:32] here's how to enter it in calculator:
[00:11:53] try it like that

Ameenah (Customer)
[00:11:55] 400

steven b (Tutor)
[00:11:59] Perfect!

Ameenah (Customer)
[00:12:05] I got it! Thanks!

steven b (Tutor)
[00:12:16] Good! There's one more part
[00:12:31] the question says, "find 75% of that number"
[00:13:01] how do we find that value?

Ameenah (Customer)
[00:14:24] maybe convert 75% to a decimal and multiply it by 400.

steven b (Tutor)
[00:14:37] exactly!
[00:14:44] what's that result?

Ameenah (Customer)
[00:15:10] 300

steven b (Tutor)
[00:15:19] You got it!
[00:15:24] Nice work!

Ameenah (Customer)
[00:15:31] :0

steven b (Tutor)
[00:15:33] Do you have any other questions or problems to work on?

Ameenah (Customer)
[00:15:42] one more
[00:15:45] Kirk's family drove 36 miles in 50 minutes, which was 48% of the distance to his grandmother's house. What was the total distance to Kirk's grandmother's house?

steven b (Tutor)
[00:16:15] Great question!
[00:16:41] Let's see if we can translate that into something easier to work with!
[00:16:59] What would a variable x represent in this story ?

Ameenah (Customer)
[00:17:23] total distance

steven b (Tutor)
[00:17:49] so what is 48% of the total?

Ameenah (Customer)
[00:18:19] 48% of distance to kirks grandmas house

steven b (Tutor)
[00:18:33] True, and we are given a value for that amount of the distance
[00:18:40] 36 miles
[00:18:50] can you think of how we'd write down the equation?

Ameenah (Customer)
[00:20:10] right or wrong?

steven b (Tutor)
[00:20:17] Correct!

Ameenah (Customer)
[00:20:23] :)

steven b (Tutor)
[00:20:25] And how do we solve that ?
[00:21:50] That's it!
[00:22:01] 75 miles does it : )
[00:22:20] do you have any more questions about our work? or would you like to go over anything else?

Ameenah (Customer)
[00:22:40] um I have no more questions

steven b (Tutor)
[00:22:48] It was great working with you! I hope the session has helped some.
[00:23:03] Please take a few seconds to fill out the survey as you leave. We strive for excellence at Tutor.com, and we value your survey response. Enjoy the rest of your day!

Ameenah (Customer)
[00:23:17] it helped a lot thanks i will fill out the form bye

steven b (Tutor)
[00:23:25] bye : )