Question
The combustion of glucose releases energy. The ratio of grams of glucose combusted to kilocalories of energy released is 12.0 to 45.0. How many grams of glucose must be combusted to provide 85.5 kilocalories of energy?
- 5.7
- 9.9
- 22.8
- 320.6
The correct answer is: 22.8
HINT: Use the given ratios and find the corresponding combusted glucose in grams.
Complete step by step Solution
Given, Ratio of grams of glucose to kilocalories of energy is 12 : 45 = 
…(i)
Let x be the grams of glucose combusted to get 85.5 kilocalories of energy, that is 
…(ii)
On equating (i) and (ii)
We get, 
On performing cross multiplication,
we get 45 × x = 12 × 85.5 = 45x = 1026
On dividing both the sides by 45,
We get 
= 
Therefore x = 22.8 grams.
So 22.8 grams of glucose must be combusted to provide 85.5 kilocalories of energy.
Hence option C is the correct answer.
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?
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?
