Solve Ratio Question: (3a + 3b)/(a - b) with a/b = 2/5 | Get Homework Help

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In summary, a ratio is a comparison of two quantities or values expressed as a fraction or with a colon. To solve a ratio question, you need to set up an equation and simplify it to find the unknown values. A ratio of a/b = 2/5 means there are 2 parts of a for every 5 parts of b. To simplify fractions, find the greatest common factor and divide both numerator and denominator by it. You can solve a ratio question algebraically even without knowing the specific values of a and b.
  • #1
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Homework Statement



Calculate: (3 a + 3 b)/(a - b) If a/b = 2/5

No attempts, I don't know how to solve this.

Help?
 
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  • #2
welcome to pf!

hi blunted! welcome to pf! :smile:
blunted said:
a/b = 2/5

hint: so a = … ? :wink:
 
  • #3
Oh my god :D

Thanks for the hint and the welcome :)
 
  • #4
K + l + m = 34.
K/l = 1/4
l/m = 1/3

l = ?

Is it 8 ?
 
Last edited:
  • #5
maybe it is and maybe it isn't :wink:

show your calculations! :smile:​

(same hint as before, btw)
 

1. What is a ratio?

A ratio is a comparison of two quantities or values. It represents how many times one value is contained within another value. It is typically written in the form of a fraction or with a colon between the two values.

2. How do I solve a ratio question?

To solve a ratio question, you need to set up an equation where the ratio is equal to the given values. In this case, the equation would be (3a + 3b)/(a - b) = 2/5. Then, you can simplify the equation and solve for the unknown values.

3. What does a/b = 2/5 mean?

This means that there are 2 parts of a for every 5 parts of b. It is a way to express the relationship between two values in terms of a fraction.

4. How do I simplify fractions?

To simplify fractions, you need to find the greatest common factor (GCF) of the numerator and denominator and divide both by it. In this case, the GCF of 3a and a is a, and the GCF of 3b and b is b. So, the simplified fraction would be 3/5.

5. Can I solve this ratio question without knowing the values of a and b?

Yes, you can still solve the ratio question without knowing the specific values of a and b. You can use variables to represent the values and solve the equation algebraically to find the ratio.

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