In a grocery store, the ratio of carbonated drinks to all beverages is ,
what percentage of all beverages are carbonated drinks?
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In a grocery store, the ratio of carbonated drinks to all beverages is ,
what percentage of all beverages are carbonated drinks?
We need to find the percentage of beverages that are carbonated drinks given the ratio .
This ratio indicates that for every 1 part of carbonated drinks, there are 10 parts of all beverages.
Therefore, the percentage of all beverages that are carbonated drinks is .
Convert the fraction into a percentage:
\( \frac{2}{100}=\text{?} \)
The ratio 1:10 means that for every 1 carbonated drink, there are 10 total beverages in the store. It's showing the relationship between part to whole, not part to part.
Great question! The ratio 1:10 means 1 out of 10, which equals . The number 1 in the ratio represents parts, not percentage points.
Remember: Percentage means "per hundred." So becomes which is 10 per hundred = 10%!
Same process! Convert to fraction: , then multiply by 100: . The denominator stays the same in part-to-whole ratios.
Absolutely! If there are 100 beverages total and 10% are carbonated, that's 10 carbonated drinks. The ratio would be 10:100, which simplifies to 1:10. Perfect match! ✓
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