Question
Each empty can weighs about 3.5 ounces. How many empty cans will the class have to collect to meet their quota of pounds? (12 points; 2 points per answer)
First convert the pounds of empty cans to ounces: ? lbs ? oz ? lb = 3,200 ounces
Second convert the ounces to number of cans: ? oz 1 can 3.5 oz = click here
First convert the pounds of empty cans to ounces: ? lbs ? oz ? lb = 3,200 ounces
Second convert the ounces to number of cans: ? oz 1 can 3.5 oz = click here
Answers
GPT-4o mini
To resolve the problem, let's break it down into two parts as requested.
### Part 1: Convert pounds to ounces
We know that there are 16 ounces in a pound. To convert 3,200 pounds to ounces, we multiply by 16.
\[
3200 \text{ lbs} \times 16 \text{ oz/lb} = 51,200 \text{ oz}
\]
### Part 2: Convert ounces to number of cans
Next, we need to determine how many cans are needed, knowing each can weighs 3.5 ounces. We do this by dividing the total ounces by the weight of one can.
\[
\frac{51,200 \text{ oz}}{3.5 \text{ oz/can}} = 14,657.14 \text{ cans}
\]
Since you can't collect a fraction of a can, you would round up to the next whole number, which is 14,658 cans.
### Answers Summary:
1. **Total Ounces:** 51,200 ounces
2. **Number of Cans:** 14,658 cans
### Part 1: Convert pounds to ounces
We know that there are 16 ounces in a pound. To convert 3,200 pounds to ounces, we multiply by 16.
\[
3200 \text{ lbs} \times 16 \text{ oz/lb} = 51,200 \text{ oz}
\]
### Part 2: Convert ounces to number of cans
Next, we need to determine how many cans are needed, knowing each can weighs 3.5 ounces. We do this by dividing the total ounces by the weight of one can.
\[
\frac{51,200 \text{ oz}}{3.5 \text{ oz/can}} = 14,657.14 \text{ cans}
\]
Since you can't collect a fraction of a can, you would round up to the next whole number, which is 14,658 cans.
### Answers Summary:
1. **Total Ounces:** 51,200 ounces
2. **Number of Cans:** 14,658 cans