Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Weight |
Grade: 6-a Lesson: S3-L5 |
Explanation: Let us verify the answer here with the steps. |
Lesson Steps Head1
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Manish prepares 43 pounds of metal in 2 hours and 36 minutes. At the same rate, How many ounces of metal will he prepare in 3 minutes? |
|
2 |
Step |
43 pounds of metal in 2 hours and 36 minutes. |
|
3 |
Hint |
First, let’s convert 2 hours and 36 minutes to a single time unit, which is minutes: |
2 hours = \$2 \ times 60\$ = 120 minutes |
4 |
Step |
Total time = 120 minutes + 36 minutes = 156 minutes |
|
5 |
Formula: |
Now, calculate Manish’s rate of preparing metal in pounds per minute: |
\$ "Rate" = ("Amount of metal") / "Time" \$ |
6 |
Step |
After substitution, we get |
\$ "Rate" = (43 "pounds") / (156 "minutes")\$ \$"Rate" = 0.2756 "pounds per minute" \$ |
7 |
Step |
Now, convert the rate to ounces. Remember that 1 pound is equal to 16 ounces. |
1 pound = 16 ounces |
8 |
Step |
Rate in ounces per minute: |
\$0.2756 "pounds per minute" \times 16 "ounces per pound"\$ |
9 |
Step |
After multiplication, we get |
4.4096 ounces per minute |
10 |
Step |
Metal prepared in 3 minutes |
\$"Rate" times "Time"\$ |
11 |
Step |
Metal prepared in 3 minutes |
\$4.4096 "ounces" times 3 "minutes" = 13.23 "ounces"\$ |
12 |
Step |
So, at the same rate, Manish will prepare approximately 13.23 ounces of metal in 3 minutes. |
|
13 |
Answer |
A |
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