CPM Homework Help : ACC7 Problem 7-112

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7-112.

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

$\frac { 35 } { 70 } = \frac { x } { 100 }$
Hint (a):
Use cross multiplication.
$35·100=70x\\ \quad \ 3500 = 70x$

Answer (a):
$x= \frac{3500}{70}=50$

$\frac { 12 } { 33 } = \frac { m } { 11 }$
Hint (b):
Use the inverse to undo.
$\left(\frac{11}{1}\right)\frac{12}{33}=\frac{m}{11}\left(\frac{11}{1}\right)$
Answer (b):
$m=4$

$\frac { x } { 15 } = \frac { 12 } { 75 }$
Hint (c):
Use a Giant One to find the equivalent ratio.
$\frac{x}{15}\left(\frac{?}{?}\right)=\frac{12}{75}$
$\frac{x}{15}\left(\frac{5}{5}\right)=\frac{12}{75}$
Answer (c):
$x=2.4$

$\frac { 4 } { 32 } = \frac { 10.5 } { x }$
Hint (d):
Try using one of the methods presented in either part (a), (b), or (c).

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