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viktelen [127]
3 years ago
7

Solve 1/3 (3x + 6) + 2x = 26

Mathematics
1 answer:
Ilya [14]3 years ago
8 0

Answer: x = 8

Step-by-step explanation:

<u>Given</u>

(1/3) (3x + 6) + 2x = 26

<u>Expand parentheses and apply the distributive property</u>

(1/3) · 3x + (1/3) · 6 + 2x = 26

x + 2 + 2x = 26

<u>Combine like terms</u>

(x + 2x) + 2 = 26

3x + 2 = 26

<u>Subtract 2 on both sides</u>

3x + 2 - 2 = 26 - 2

3x = 24

<u>Divide 3 on both sides</u>

3x / 3 = 24 / 3

\boxed{x=8}

Hope this helps!! :)

Please let me know if you have any questions

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Hatshy [7]

Answer:

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:D

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3 years ago
Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones th
Korvikt [17]
Robbie bought the smallest amount. Let's use x for that amount.
Let's use n for amount that each following customer increases.

We have:
Robbie=x
Cameron=x+n
Louis=x+n+n
Tom=x+n+n+n
Charlie=x+n+n+n+n

We know that they bought total of 60 scones.
Robbie + Cameron + Louis + Tom + Charlie = 60
x + x+n + x+n+n + x+n+n+n + x+n+n+n+n = 60
5x + 10n = 60 /:5
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We are also given this information:
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We insert the equations from above:
(x + x+n) = 3/7 * (x+n+n + x+n+n+n + x+n+n+n+n) 
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We take everything on the left side.
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x - 4n = 0

Now we have two equations:
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We solve second one for x and insert it into first one.
x + 2n = 12
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n = 2
x=4*2
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Now we can solve for the amount for each customer.
Robbie=x = 8
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Tom=x+n+n+n = 8 + 2 + 2 + 2 = 14
Charlie=x+n+n+n+n = 8 + 2 + 2 + 2 + 2 = 16
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Answer:

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Step-by-step explanation:

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