3.01 Introduction to ratios
Express the following ratios as word statements:
For each of the following diagrams:
Write the ratio of circles to squares.
Write the ratio of squares to circles.
For each of the following diagrams:
Write the ratio of shaded squares to unshaded squares.
Write the ratio of shaded squares to total squares.
For each of the following diagrams:
Write the ratio of shaded sectors to unshaded sectors.
Write the ratio of shaded sectors to total sectors.
Express each pair of quantities as a ratio:
\$5 to \$7
47 volts to 43 volts
13 minutes to 17 minutes
37 candies to 17 candies
5 seconds to 26 seconds
13 newtons to 29 newtons
15 oranges to 76 oranges
130 days to 171 days
Explain how to simplify a ratio if the terms have different units.
Express each pair of quantities as a simplified ratio:
9000 meters to 8 kilometers
\$1 to 31\text{c}
2 centuries to 409 years
31 minutes to 2 hours
6 minutes to 659 seconds
43 weeks to 1 year
37 months to 2 years
13 hours to 5 days
A bridge is made up of 3 lengths, \overline{PQ}, \overline{QR} and \overline{RS}, as shown in the figure:
Find the total length of the bridge.
Write the lengths of \overline{PQ} to \overline{RS} as a ratio.
Write the lengths of \overline{PQ} to \overline{PS} as a ratio.
Write the lengths of \overline{PQ} to \overline{QR} to \overline{RS} as a ratio.
In a bag, there are 20 marbles. If there are 5 green marbles, 6 blue marbles, 2 red marbles, and 7 yellow marbles, find the ratios of the colored marbles below:
Green to red.
Blue to red.
Green to blue.
Red to blue.
Blue to green.
Green to the total number of marbles.
Yellow to the total number of marbles.
Red to the total number of marbles.
Write each of the following statements as a simplified ratio:
There are 11 cats to 6 dogs.
In a classroom, there are 12 girls to 5 boys.
When making pasta, you need 5 cups of plain flour to 8 eggs.
There are 3 red marbles to 2 blue marbles.
The Great Dane weighed two times as much as the Labrador.
In a working day, a bricklayer lays 50 bricks every hour.
A solution requires 5 \text{ L} of alcohol for every liter of water.
A cement mixture calls for 3 bags of cement to 5 \text{ gal} of water to 525 \text{ lb} of fine sand.