Question

Solve x/42= 3/7 using two different strategies

Answer 1

Answer:

The solution of x/42= 3/7 using two different strategies is x = 18

Solution:

Given, expression is $\frac{x}{42}=\frac{3}{7}$

We have to solve the above given expression using two different strategies.

Now let us use cross multiplication,

$\text { Then, } \frac{x}{42}=\frac{3}{7} \rightarrow x \times 7=3 \times 42 \rightarrow 7 x=126 \rightarrow x=\frac{126}{7} \rightarrow x=18$

So the value of x is 18.

Now let us use comparison method,

Then, $\frac{x}{42}=\frac{3}{7}$ for comparison in our problem denominators should be equal so multiply R.H.S fraction with 6 and divide with 6.

$\rightarrow \frac{x}{42}=\frac{3}{7} \times \frac{6}{6} \rightarrow \frac{x}{42}=\frac{18}{42}$

Now by comparison x = 18.  Hence, the value of x is 18.