### Home > CC2 > Chapter 7 > Lesson 7.2.2 > Problem7-112

7-112.

Solve the proportions using any strategy you choose. Show all of your steps.

1. $\frac { 35 } { 70 } = \frac { x } { 100 }$

Use cross multiplication.
$35·100=70x\\ \quad \ 3500 = 70x$

$x= \frac{3500}{70}=50$

1. $\frac { 12 } { 33 } = \frac { m } { 11 }$

Use the inverse to undo.

$\left(\frac{11}{1}\right)\frac{12}{33}=\frac{m}{11}\left(\frac{11}{1}\right)$

$m=4$

1. $\frac { x } { 15 } = \frac { 12 } { 75 }$

Use a Giant One to find the equivalent ratio.

$\frac{x}{15}\left(\frac{?}{?}\right)=\frac{12}{75}$

$\frac{x}{15}\left(\frac{5}{5}\right)=\frac{12}{75}$

$x=2.4$

1. $\frac { 4 } { 32 } = \frac { 10.5 } { x }$

Try using one of the methods presented in either part (a), (b), or (c).