Tuesday : find the value of x .
Solution 1) :-
[tex] \frac{2}{5} = \frac{x}{15} [/tex]
[tex]2 \times 15 = 5 \times x[/tex]
[tex]30 = 5x[/tex]
[tex]5x = 30[/tex]
[tex]x = \frac{30}{5} [/tex]
[tex]x = 6[/tex]
Therefore , the value of x = 6 .
Solution 2) :-
[tex] \frac{18}{x} = \frac{6}{10} [/tex]
[tex]18 \times 10 = 6 \times x[/tex]
[tex]180 = 6x[/tex]
[tex]6x = 180[/tex]
[tex]x = \frac{180}{6} [/tex]
[tex]x = 30[/tex]
[tex] \frac{18}{30} = \frac{6}{10} [/tex]
Therefore , the value of x = 30.
Solution 3):-
[tex] \frac{x}{6} = \frac{30}{36} [/tex]
[tex]x \times 36 = 30 \times 6[/tex]
[tex]36x = 180[/tex]
[tex]x = \frac{180}{36} [/tex]
[tex]x = 5[/tex]
[tex] \frac{5}{6} = \frac{30}{36} [/tex]
Therefore , the value of x = 5 .
Solution 4) :-
[tex] \frac{2}{7} = \frac{x}{49} [/tex]
[tex]2 \times 49 = 7 \times x[/tex]
[tex]7x = 98[/tex]
[tex]x = \frac{98}{7} [/tex]
[tex]x = 14[/tex]
[tex] \frac{2}{7} = \frac{14}{49} [/tex]
Therefore , the value of x = 14 .
Wednesday : find the value of m .
Solution 5) :-
[tex] \frac{4}{m} = \frac{16}{40} [/tex]
[tex]4 \times 40 = 16 \times m[/tex]
[tex]160 = 16x[/tex]
[tex]x = \frac{160}{16} [/tex]
[tex]x = 10[/tex]
[tex] \frac{4}{10} = \frac{16}{40} [/tex]
Therefore , the value of m = 10 .
Solution 6) :-
[tex] \frac{3}{m} = \frac{12}{75} [/tex]
[tex]3 \times 75 = 12 \times m[/tex]
[tex]225 = 12m[/tex]
[tex]m = \frac{225}{12} [/tex]
[tex]m = 18.75[/tex]
[tex] \frac{3}{18.75} = \frac{12}{75} [/tex]
Therefore , the value of m = 18.75 .
Solution 7) :-
[tex] \frac{0.5}{3} = \frac{1}{m} [/tex]
[tex]0.5m = 3 \times 1[/tex]
[tex]0.5 m= 3[/tex]
[tex]m = \frac{3}{0.5} [/tex]
[tex]m = 6[/tex]
[tex] \frac{0.5}{3} = \frac{0.6}{1} [/tex]
Therefore , the value of m = 0.6 .
Solution 8) :-
[tex] \frac{6}{7} = \frac{m}{56} [/tex]
[tex]6 \times 56 = 7 \times m[/tex]
[tex]7m = 336[/tex]
[tex]m = \frac{336}{7} [/tex]
[tex]m = 48[/tex]
[tex] \frac{6}{7} = \frac{48}{56} [/tex]
Therefore , the value of m = 48 .
