5.1 Ratios and proportions: proportions  (Page 2/2)

$\frac{x}{8}=\frac{\text{12}}{\text{32}}$

$\frac{7}{x}=\frac{\text{14}}{\text{10}}$

$\frac{9}{\text{11}}=\frac{x}{\text{55}}$

$\frac{1}{6}=\frac{8}{x}$

A statement that two ratios or are equal is called a .

3 is to 7 as 18 is to 42.

1 is to 11 as 3 is to 33.

9 is to 14 as 27 is to 42.

6 is to 90 as 3 is to 45.

5 liters is to 1 bottle as 20 liters is to 4 bottles.

18 grams of cobalt is to 10 grams of silver as 36 grams of cobalt is to 20 grams of silver.

4 cups of water is to 1 cup of sugar as 32 cups of water is to 8 cups of sugar.

3 people absent is to 31 people present as 15 peo­ple absent is to 155 people present.

6 dollars is to 1 hour as 90 dollars is to 15 hours.

$\frac{3}{4}=\frac{\text{15}}{\text{20}}$

$\frac{1}{8}=\frac{5}{\text{40}}$

$\frac{\text{3 joggers}}{\text{100}\text{ feet}}=\frac{\text{6 joggers}}{\text{200}\text{ feet}}$

$\frac{\text{12 marshmallows}}{3\text{ sticks}}=\frac{\text{36 marshmallows}}{9\text{ sticks}}$

$\frac{\text{40 miles}}{\text{80 miles}}=\frac{\text{2 gallons}}{\text{4 gallons}}$

$\frac{\text{4 couches}}{\text{10}\text{ couches}}=\frac{\text{2 houses}}{\text{5 houses}}$

$\frac{\text{1 person}}{\text{1 job}}=\frac{\text{8 people}}{\text{8 jobs}}$

$\frac{\text{1 popsicle}}{2\text{ children}}=\frac{\frac{1}{2}\text{popsicle}}{\text{1 child}}$

$\frac{\text{2,000 pounds}}{1\text{ ton}}=\frac{\text{60,000 pounds}}{\text{30}\text{ tons}}$

$\frac{1\text{ table}}{\text{5 tables}}=\frac{\text{2 people}}{\text{10 people}}$

$\frac{x}{5}=\frac{6}{\text{15}}$

$\frac{x}{\text{10}}=\frac{\text{28}}{\text{40}}$

$\frac{5}{x}=\frac{\text{10}}{\text{16}}$

$\frac{\text{13}}{x}=\frac{\text{39}}{\text{60}}$

$\frac{1}{3}=\frac{x}{\text{24}}$

$\frac{7}{\text{12}}=\frac{x}{\text{60}}$

$\frac{8}{3}=\frac{\text{72}}{x}$

$\frac{\text{16}}{1}=\frac{\text{48}}{x}$

$\frac{x}{\text{25}}=\frac{\text{200}}{\text{125}}$

$\frac{\text{65}}{\text{30}}=\frac{x}{\text{60}}$

5 hats are to 4 coats as $x$ hats are to 24 coats.

$x$ cushions are to 2 sofas as 24 cushions are to 16 sofas.

1 spacecraft is to 7 astronauts as 5 spacecraft are to $x$ astronauts.

56 microchips are to x circuit boards as 168 microchips are to 3 circuit boards.

18 calculators are to 90 calculators as $x$ students are to 150 students.

$x$ dollars are to $40,000 as 2 sacks are to 1 sack.

$\frac{3}{\text{16}}=\frac{\text{12}}{\text{64}}$

$\frac{2}{\text{15}}=\frac{\text{10}}{\text{75}}$

$\frac{1}{9}=\frac{3}{\text{30}}$

$\frac{\text{6 knives}}{\text{7 forks}}=\frac{\text{12 knives}}{\text{15}\text{ forks}}$

$\frac{\text{33 miles}}{\text{1 gallon}}=\frac{\text{99 miles}}{\text{3 gallons}}$

$\frac{\text{320 feet}}{\text{5 seconds}}=\frac{\text{65 feet}}{\text{1 second}}$

$\frac{\text{35 students}}{\text{70 students}}=\frac{\text{1 class}}{\text{2 classes}}$

$\frac{\text{9 ml chloride}}{\text{45 ml chloride}}=\frac{\text{1 test tube}}{7\text{ test tubes}}$

( [link] ) Use the number 5 and 7 to illustrate the commutative property of addition.

( [link] ) Use the numbers 5 and 7 to illustrate the commutative property of multiplication.

( [link] ) Find the difference. $\frac{5}{\text{14}}-\frac{3}{\text{22}}$ .

( [link] ) Find the product. $8\text{.}\text{06129}\cdot \mathrm{1,}\text{000}$ .

( [link] ) Write the simplified fractional form of the rate “sixteen sentences to two paragraphs.”