Did you know?
Did you know that collecting aluminum pop tabs can help raise money for a good cause? For example, a student council collects these pop tabs to purchase a wheelchair. A company buys the pop tabs for $0.88 per kilogram. If 1267 pop tabs have a mass of one pound, we can determine how many pop tabs are needed to purchase a wheelchair worth $1500 by showing our work.
To find the number of pop tabs needed, we need to know how much one pop tab weighs. Since 1267 pop tabs have a mass of one pound, we can calculate the mass of one pop tab by dividing the total mass by the number of pop tabs:
1 pound = 1267 pop tabs
1 pound = 0.4536 kilograms (since there are about 2.20462 pounds per kilogram)
Now, let's find the mass of one pop tab:
0.4536 kilograms / 1267 pop tabs = 0.0003582 kilograms (rounded to four decimal places)
To determine how many pop tabs are needed to purchase a $1500 wheelchair, we need to find the total mass of the pop tabs required:
Total mass of pop tabs = Total cost of wheelchair / Cost per kilogram
Total mass of pop tabs = $1500 / $0.88 per kilogram
Total mass of pop tabs = 1704.5455 kilograms (rounded to four decimal places)
Finally, we can find the number of pop tabs needed by dividing the total mass of pop tabs by the mass of one pop tab:
Number of pop tabs needed = Total mass of pop tabs / Mass of one pop tab
Number of pop tabs needed = 1704.5455 kilograms / 0.0003582 kilograms
Number of pop tabs needed = 4,762,043.73 (rounded to the nearest whole number)
Therefore, approximately 4,762,043 pop tabs are needed to purchase a wheelchair worth $1500. Collecting these pop tabs not only raises money but also promotes recycling and helps those in need.