Question

A nutrition label states that there are there is there are 36g of carbon hydrogen each serving, this account for 12% of the daily value, how many grams of carbon hydrates are recommended per day?

Answer 1

Answer:

300 g

Step-by-step explanation:

36 g = 12% × (daily value)

(36 g)/(12/100) = (daily value) . . . . . . . divide by 12%

(3600 g)/12 = (daily value) = 300 g

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Comment on percentages

"Per cent" means "divided by 100". The symbol (%) is a shorthand way to write "/100". So, 12% = 12/100 = 0.12.

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Comment on dividing fractions

You can divide fractions by multiplying by the inverse of the denominator:

... a/(b/c) = a × c/b = ac/b

Or, you can express numerator and denominator over the same denominator, then cancel that:

... a/(b/c) = (ac/c) / (b/c) = ac/b

Either way, 36/(12/100) = 3600/12 = 300.