An artist mixes paint to make new colors. she uses 1/3 cup of red paint and 1/3 cup of yellow paint to make a batch of orange paint. if the artist has 2 cups of red paint available and 3 cups of yellow paint available, how many batches of orange paint can she make?

The number of batches of orange paint that the artist can make is 6 batches.

The quantity of red and yellow paint mixed to make orange paint is expressed as fractions. Fractions are numbers that consist of numerators and denominators. An example of a fraction is 1.3. 1 is the numerator and 3 is the denominator.

In order to determine the batches of orange paint that can be made, divide 2 cups by 1/3.

2 ÷ 1/3

2 x 3 = 6 batches

To learn more about the division of fractions, please check: link

The artist can make six batches of orange paint and it remains one cup of yellow paint

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of red paint for one batch of orange paint = 1/3 of a cup

Amount of yellow paint for one batch of orange paint= 1/3 of a cup

Amount of red paint available = 2 cups

Amount of yellow paint available = 3 cups

2. How many batches of orange paint can she make?

2 cups of red paint = 6/3 = 6 batches of orange paint

3 cups of yellow paint = 9/3 = 6 batches and it remains one cup of yellow paint

The artist can make six batches of orange paint and it remains one cup of yellow paint