standard_description: Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
problem_activity: Problem 1
Jessica gets her favorite shade of purple paint by mixing 2 cups of blue paint with 3 cups of red paint. How many cups of blue and red paint does Jessica need to make 20 cups of her favorite purple paint?
Complete the table of equivalent ratios below to answer the question.
| **           Blue paint (cups)          ** | **           Red paint (cups)          ** | **           Purple paint (cups)          ** |
|--------------------------------------------|-------------------------------------------|----------------------------------------------|
|                                            |                                           |                                              |
|                                            |                                           |                                              |
|                                            |                                           |                                              |
|                                            |                                           |                                              |
Problem 2
Michaela and Lucas both ran for class treasurer at their middle school. The ratio of votes for Michaela to votes for Lucas was 3:1.
Determine if each statement below is true or false.
a.    For every 5 votes Lucas got, Michaela got 10 votes.
b.   Michaela got 3 out of every 4 votes.
c.   Lucas got 1 out of every 3 votes.
d.   Lucas got
$$\frac{1}{4}$$
of all the votes.
e.   Out of 32 votes, Michaela got 24.


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