Lesson Example Discussion Quiz: Class Homework |
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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