# The ratio of a to b is 4/7. If a is 16, how do you find the value of b?

May 6, 2018

$b = 28$

#### Explanation:

$\text{expressing the ratios in equivalent fraction form}$

$\Rightarrow \frac{a}{b} = \frac{4}{7}$

$\text{given "a=16" then}$

$\frac{16}{b} = \frac{4}{7}$

$\text{we can solve using "color(blue)"cross-multiplication}$

•color(white)(x)a/b=c/drArrad=bc

$\Rightarrow 4 b = 16 \times 7$

$\Rightarrow b = \frac{{\cancel{16}}^{4} \times 7}{\cancel{4}} ^ 1 = 4 \times 7 = 28$