3.02 Equivalent and simplified ratios
Complete the following pairs of equivalent ratios:
Write down three ratios that are equivalent to the following ratios:
Simplify:
45:35
35:5
450:350
Simplify:
\dfrac {1}{2}:3
\dfrac {2}{3}:\dfrac {1}{2}
\dfrac {2}{9}:5
\dfrac {9}{8}:\dfrac {5}{8}
\dfrac {6}{7}:\dfrac {8}{11}
\dfrac {3}{4}:\dfrac {7}{12}
\dfrac {2}{5}:\dfrac {3}{4}
\dfrac {9}{10}:\dfrac {2}{5}
5\dfrac {2}{5}:6
1\dfrac {5}{7}: 1\dfrac {9}{11}
1\dfrac {2}{9}:3
2\dfrac {1}{3}: 1\dfrac {8}{9}
Simplify:
7:6.3
1.5:2.4
0.5:2.25
2.4:3.9
2.8:1.6
0.4:2.08
\$0.60:\$2.00
\$5.20:\$9.50
Write the following as simplified ratios:
\$8.20 to \$11.60
540\text{c} to \$3.00
5.4\text{ km} to 420\text{ m}
120\text{ cm} to 5.1\text{ m}
11 years to 28 months
20 days to 5 weeks
10 minutes to 120 seconds
15\,000 \text{ mL} to 5 \text{ L}
The following table shows the ratio of dogs to cats:
Complete the table of equivalent ratios.
If there are 270 dogs, how many cats would there be?
Simplify the ratio of the number of dogs to cats from part (b).
| Dogs | to | Cats |
|---|---|---|
| 9 | : | 5 |
| 18 | : | 10 |
| 27 | : | |
| 45 | : | |
| : | 50 |
Tricia and Luigi invest money into a business in the ratio 4:9. If Tricia has invested \$2400, how much has Luigi invested?
The ratio of students to teachers competing in a charity race is 9:4. If 54 students take part in the race, how many teachers took part?
Two kinds of pine trees, Bristlecone and Aleppo, are planted in rows. In each row, the ratio of Bristlecone to Aleppo is 10:9. Altogether, 600 Bristlecone pine trees are planted. How many Aleppo pines are planted?
At a sporting event, the ratio of security guards to spectators is 1:120. If 8400 spectators attend the event, how many security guards will be required?
A painter wants to create a certain color by mixing two different colors of paint, Vespa and Nitro, in the ratio 4:1. He uses 4 liters of the Nitro color.
How many liters of the Vespa color must he use?
How many liters of paint will he have altogether once the two colors are combined?