#i need to learn how to solve word problems using elimination and subsitution

68 messages · Page 1 of 1 (latest)

split tangleBOT
hexed prawn
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its helpful to think about a variable for the number of pencils and a variable for the number of pens @floral narwhal

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so let x=# of pencils and y=# number of pens

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well, we don't know how many pencil or pens he has

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so what does the first statement tell us

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mhm

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yes

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if he doubles the number of pencils, he'll have 11 total pencils and pens

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yes

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now you can solve for x and y

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mistake

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-2y+y not equal to -3y

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its all good

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that tells you that y=5, yes?

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what does that tell you about x?

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using this

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so x=3

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ok

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let x represent the volume of 5% acetic acid and y reprsent the volume of 10% acetic acid

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what does that tell you about x+y=

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250 mL of 8% acetic

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no

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you should be consistent whether you use 2.5 v.s. 250

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this equation means you want a solution with a certain amount of acid (to make it 8%)

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yes

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,calc 0.075/0.05

fresh daggerBOT
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Result:

1.5
hexed prawn
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you may need to assume x+y=250 instead also

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it shouldn't matter, you just get your answer scaled up

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so 150

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ye

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you're good

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be careful

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yes

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yes profit=revenue-cost

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what is the revenue (how much does she make per pants she make)

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let p be the number of pants

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that's the profit you're jumping a bit but still good

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let y be the profit and x be the number of pants she makes

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no

hexed prawn
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so far, revenue=10x

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what are the costs

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AND

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so the COST in totla is 0.5x-1045

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so y=10x-(0.5x+1045)

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there we go

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yes it would be + inside

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simplifying, y=9.5x-1045

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since y is the profit, do you know what it means to break even?

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profit of 0

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!nogpt

split tangleBOT
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Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).

hexed prawn
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i would still be careful

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it need not be a system

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break even means 0 profit yes

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so y=0

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,calc 1045/9.5

fresh daggerBOT
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Result:

110
hexed prawn
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if you assume the profit is 0 from the beginning, i suppose so

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!nogpt

split tangleBOT
#

Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).

hexed prawn
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i can't explain why gpt does what it does

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its not always right, it's not reliable

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wydm

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like why did i define profit?

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that's chatgpt

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