Step-2

Title: Volume

Grade: 6-a Lesson: S3-L3

Explanation: Let us verify the answer here with the steps.

Step Type Explanation Answer

1

Problem

Marisol used \$2 (4/3)\$ gallons of paint to paint the walls of her bedroom and 15 a gallon to paint the ceiling. How much paint did she use in all?

2

Step

Marisol used \$2 (4/3)\$ gallons of paint to paint the walls of her bedroom, which is equivalent to

\$ (2 + (4/3)) \$ gallons

3

Hint

Amount of paint used to paint the ceiling

15 gallons

4

Step

Now, to find out how much paint she used in total, we need to add the paint used for the walls and the paint used for the ceiling.

5

Step

Now, add the amount of paint used for the walls and the ceiling:

Total paint used = \$ (2 + (4/3)) \$ gallons (for the walls) + 15 gallons (for the ceiling)

6

Step

Now, we need to add these quantities. To add them, you need a common the denominator, which is 3:

Total paint used = \$((2 \times 3 + 4) ) / 3\$ gallons (for the walls) + 15 gallons (for the ceiling)

7

Step

After simplification, we get

Total paint used = \$(6 + 4) / 3\$ gallons (for the walls) + 15 gallons (for the ceiling)

8

Step

After simplification, we get

Total paint used = \$(10 / 3) \$gallons (for the walls) + 15 gallons (for the ceiling)

9

Step

Now, add the two quantities:

Total paint used = \$ (10/3) + 15 \$ gallons

10

Step

To add these fractions, you need a common denominator, which is 3:

Total paint used = \$ (10 + 45) / 3 \$ gallons

11

Step

After simplification, we get

Total paint used = \$ (55 / 3)\$ gallons

12

Step

So, total paints used by Marisol to paint the walls and ceiling of her bedroom

\$55/3\$ gallons = 18.33 gallons (rounded to two decimal places)

13

Step

Marisol used approximately 18.33 gallons of paint in total.

14

Answer

C


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