Middle School

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Paula has containers of colored sand that she uses for sand art. She has:

- \(\frac{1}{3}\) cup each of blue, gray, and orange sand.
- \(\frac{2}{3}\) cup each of yellow and red sand.
- \(\frac{1}{2}\) cup of purple sand.
- 1 cup of green sand.

If Paula uses 1 cup of sand for each picture, how many pictures will she be able to make?

Answer :

3 pictures.

1/3 + 1/3 + 1/3 = 3/3 = 1
2/3 + 2/3 = 4/3 = 1 1/3

1 + 1 + 1 1/3 + 1/2
2 + 1 1/3 + 1/2

1 1/3 * 3 = 1 2/6
1/2 * 3 = 3/6
= 1 5/6

2 + 1 5/6
3 5/6

Paula can make 3 pictures.

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Rewritten by : Barada

Final answer:

Paula has a total of 3.83 cups of colored sand. But since she cannot create a fraction of a picture, she can create 3 pictures in total.

Explanation:

Let's start by determining the total amount of sand Paula has. She has 1/3 cup each of blue, gray, and orange sand. Therefore, 1/3 cup x 3 = 1 cup. Paula has 2/3 cup each of yellow and red sand which totals to 2/3 cup x 2 = 4/3 cups or approximately 1.33 cups. She has 1/2 cup of purple and 1 cup of green sand, so that adds to 1/2 + 1 = 1.5 cups. Hence, the total number of cups becomes 1 cup (from blue, gray, orange) + 1.33 cups (from yellow, red) + 1.5 cups (from purple, green) = 3.83 cups. Since Paula uses one cup of sand per picture, she can make 3.83 pictures. However, as you cannot create 0.83 of a picture, she can make 3 pictures in total.

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