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Given that 
5a=8b, find the ratio of 
a:b.

Answer:

1212. Given that 5a=8b 5 a=8 b , find the ratio of a:b a: b .\newlineAnswer:

Full solution

Q. 1212. Given that 5a=8b 5 a=8 b , find the ratio of a:b a: b .\newlineAnswer:
  1. Question Prompt: question_prompt: Find the ratio of aa to bb given that 5a5a equals 8b8b.
  2. Isolate aa: Since 5a=8b5a=8b, divide both sides by 55 to isolate aa. So, a=85ba=\frac{8}{5}b.
  3. Isolate Ratio: Now, divide both sides by bb to isolate the ratio of aa to bb. So, ab=(85)\frac{a}{b}=\left(\frac{8}{5}\right).
  4. Final Ratio: The ratio of aa to bb is therefore 8:58:5.

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