Mathematics: Convert 9 grams of fat to carbs, using 1 gram fat = 9 calories, 1 carb per gram =4 calories. Write as a decimal. What the carbs?

Convert 9 grams of fat to carbs, using 1 gram

DASASDAEDWEDA

11.07.2021

20.25 carb per gram

Step-by-step explanation:

Given: 1 gram fat = 9 calories, 1 carb per gram =4 calories.

To convert: 9 grams of fat to carbs.

Consider 1 gram fat = 9 calories

i.e. 1 calorie = $\frac19$ gram fat [divide both sides by 9]

1 carb per gram =4 calories.

= 4 x ( 1 calorie)

= $4\times\frac19$ gram fat

= $\frac49$ gram fat

Now, 1 gram fat = $\frac94$ carb per gram

thus,

9 grams of fat = $9\times\frac94$ carb per gram

= $\frac{81}{4}$ carb per gram

= 20.25 carb per gram

Hence, 9 grams of fat = 20.25 carb per gram

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groovyghoulie5630

23.10.2021

$d = \frac{a + c}{ac} \\$

multiply either sides by ac :

$(d \times ac) = ( \frac{a + c}{ac} ) \times ac \\ \\ dac = a + c$

collect a - terms together, by subtracting a from both sides:

$dac - a = (a + c) - a \\ dac - a = c$

factorise out a :

$a(dc - 1) = c \\ \\ { \boxed{ \boxed{a = \frac{c}{dc - 1} }}}$

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