Lesson 3: Practice Problems

Problem 1

Each of these is a pair of equivalent ratios. For each pair, explain why they are equivalent ratios or draw a diagram that shows why they are equivalent ratios.

$4 : 5$ and $8 : 10$
$18 : 3$ and $6 : 1$
$2 : 7$ and $10, 000 : 35, 000$

Problem 2

Explain why $6 : 4$ and $18 : 8$ are not equivalent ratios.

Problem 3

Are the ratios $3 : 6$ and $6 : 3$ equivalent? Why or why not?

Problem 4

This diagram represents 3 batches of light yellow paint. Draw a diagram that represents 1 batch of the same shade of light yellow paint.

A discrete diagram for two quantities labeled "white paint, in cups" and "yellow paint, in cups". The data are as follows: white paint, 9 squares. yellow paint, 15 squares.

Problem 5

In the fruit bowl there are 6 bananas, 4 apples, and 3 oranges.

For every 4 , there are 3 .
The ratio of to is $6 : 3$ .
The ratio of to is 4 to 6.
For every 1 orange, there are bananas.

Problem 6

Write fractions for points $A$ and $B$ on the number line.

A number line with 7 tick marks starting at 0, the third tick mark labeled A, the 6th tick mark labeled B, and the 7th labeled 1.