Arrowroot - vitamins

Ten grams of kiwi contains the same amount of vitamin C as 50 grams of oranges. One hundred grams of arrowroot contains the same amount of vitamin C as 200 grams of kiwi. How many grams of oranges contain the same amount of vitamin C as 50 grams of arrows?

Final Answer:

p =  500 g

Step-by-step explanation:

$$\begin{gathered} s=50\text{g} \\ s/100=k/200 \\ k=\frac{200}{100}\cdot s=\frac{200}{100}\cdot 50=\frac{200\cdot 50}{100}=\frac{10000}{100}=100\text{g} \\ k/10=p/50 \\ p=\frac{50}{10}\cdot k=\frac{50}{10}\cdot 100=\frac{50\cdot 100}{10}=\frac{5000}{10}\text{g}=500\text{g} \end{gathered}$$

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