Question

Fahad filled 2/7 of container P with water. He filled another container Q with 3 times the amount of water he filled in container P.If the capacity of container Q is double that of container P, what fraction of container Q did he fill with water?​

Answer 1

Answer:

12/7 is the answer of these question

Answer 2

Given:

Fahad filled 2/7 of container P with water. He filled another container Q with 3 times the amount of water he filled in container P.If the capacity of container Q is double that of container P

To Find:

what fraction of container Q did he fill with water?​

Solution:

For ease lets take the total volume of container P as 700x, then the amount of water Fahad filled will be,

$=\frac{2}{7}*700x\\=200x$

Then he again filled another container Q with the triple of what he filled in container P so he filled,

$V_{Qf}=3*200x\\=600x$

Now it is given that the total volume of container Q is double of container P,

$V_{Qt}=2*700x\\=1400x$

Now we can find by what fraction did Fahad filled container Q with

$Ratio=\frac{600x}{1400x} \\=\frac{3}{7}$

Hence, Fahad filled container Q with a 3/7th fraction.