SOLUTION: Hi,I'm learning proportions and I believe I have the hang of it , but I'm not sure so can you help me with this question: x over 2x+1 and 16 over 40 ( t

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Question 1112080: Hi,I'm learning proportions and I believe I have the hang of it , but I'm not sure so can you help me with this question: x over 2x+1 and 16 over 40
( the word over indicates that it's a fraction)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Proportion is the equality of ratios.

Your two ratios:
x%2F%282x%2B1%29
and
16%2F40


They are equal, for a proportion.

x%2F%282x%2B1%29=16%2F40

You want to solve for the variable?
x=%282x%2B1%29%2816%2F40%29
x=%282x%2B1%29%284%2F10%29
x=%282%2F5%29%282x%2B1%29
5x=4x%2B2
highlight_green%28x=2%29
(Could be done in fewer steps)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,I'm learning proportions and I believe I have the hang of it , but I'm not sure so can you help me with this question: x over 2x+1 and 16 over 40
( the word over indicates that it's a fraction)
If it's matrix%281%2C3%2C+x%2F%282x+%2B+1%29%2C+%22=%22%2C+16%2F40%29, we first of all REDUCE the fraction on the right side, to: 

matrix%281%2C3%2C+x%2F%282x+%2B+1%29%2C+%22=%22%2C+2%2F5%29

5x = 2(2x + 1) ------- Cross-multiplying

5x = 4x + 2

5x - 4x = 2

highlight_green%28matrix%281%2C3%2C+x%2C+%22=%22%2C+2%29%29