#Hey I really need help with these 3 exercises for my tomorrow’s homework (Pre-Algebra, Algebra 1)

52 messages · Page 1 of 1 (latest)

burnt arrowBOT
outer leaf
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  1. The sum of three consecutive numbers is 96. What are those numbers? (didn’t solve this)

  2. Shelly has a big library. She read 3/4 (three fourths) of her books. She read 5x+1, and she has 2x-15 left to read. What’s the total number of books? (Got x= 15/7 wrong 100%)

worldly dust
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Try approaching the first problem.

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What would be the first thing you think of?

outer leaf
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No I solve the first

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The second

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Sorry I haven’t had the first one solved when I sent the message but now I have

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It’s the second

worldly dust
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Okay

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Okay

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So the thing

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You have to understand there

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is that

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"x" is clearly not the total number of books.

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So you can create a new variable for the total number of books.

outer leaf
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Wait what abt this one

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  1. James’ age is x. His dad is 24 years older than him. The next year his dad will be four times his age. How old is James?
worldly dust
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Same thing, you get to use two variables.

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Let his dad's age be y.

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Then you can create two equations on the two conditions given

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Try and tell me

outer leaf
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Can it be solved? I got that James is 8 years

worldly dust
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It can be solved.

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It isnt 8

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Show us what you tried.

outer leaf
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Did you get an integer?

worldly dust
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His dad's age next year is not 4x.

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Next year James himself will be one year older.

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And how did you equal dad's age one year before and after

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James Age = $x\$
His dad's age = $x+24\\$
After one year: $\\$
James' Age = $x+1\$
His dad's age = $4(x+1)$

outer leaf
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Yes that’s how I started

mellow idolBOT
outer leaf
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Yes i know this but idk how to do the equation

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How to set it up

worldly dust
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Well dad's age was x+24

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After one year

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It could have been

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x+24+1

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= x +25

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Which is also equal to

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4(x+1)

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$\implies x+24+1=4(x+1)$

mellow idolBOT
worldly dust
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Solve further ahead.

outer leaf
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Oh so only by using the first information that james is x and his dad x+24 we can’t solve anything right?

worldly dust
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No

bright violet
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No, you're right, Alex- if all you knew was "James' dad is 24 years older than him," there wouldn't be a solution

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But we have more information than that, we have the info that "next year, James' dad will be 4 times James' age"

outer leaf
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Tysm everyone

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