Answer:The solution of x/42= 3/7 using two different strategies is x = 18Solution:Given, expression is [tex]\frac{x}{42}=\frac{3}{7}[/tex]We have to solve the above given expression using two different strategies.
Now let us use cross multiplication,
[tex]\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[/tex]So the value of x is 18.
Now let us use comparison method,
Then, [tex]\frac{x}{42}=\frac{3}{7}[/tex] for comparison in our problem denominators should be equal so multiply R.H.S fraction with 6 and divide with 6.[tex]\rightarrow \frac{x}{42}=\frac{3}{7} \times \frac{6}{6} \rightarrow \frac{x}{42}=\frac{18}{42}[/tex]Now by comparison x = 18. Hence, the value of x is 18.