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There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 246.5 grams of this cereal There are ? calories in 246.5 grams of this cereal ( round to the nearest whole number as needed )

Sagot :

We can solve this question by means of the rule of three, which can be stated as

[tex]\begin{gathered} 110\text{ calories ----------- 177.4 grams} \\ \text{ x ---------------- 246.5 grams} \end{gathered}[/tex]

then by using cross-multiplication to calculate x, we have

[tex]x\cdot177.4\text{ grams=(110 calories)}\cdot(246.5\text{ grams)}[/tex]

so, by dividing both sides by 117.4 grams, x is given as

[tex]\begin{gathered} x=\frac{\text{(110 calories)}\cdot(246.5\text{ grams)}}{177.4\text{ grams}} \\ x=152.54667\text{ calories} \end{gathered}[/tex]

Therefore, by rounding this result to the nearest whole nuymber, there are 153 calories in 246.5 grams of cereal