You will need the following info to solve the problem:
You can cover a sheet of paper with 6 $100 bills
There are 500 sheets of paper in 1 ream
There are 10 reams in 1 carton
Imagine that you have inherited $1 million . The bank has only $700,000 in $100 bill. The bank gives you the rest of the money in $20 bills and $10 bills. Your suitcase will hold as much as 1 carton of paper.
Will $1 million dollars fit in your suitcase?
Show all of your work. Explain what you did to solve the problem.
$700 000 in $100 bills = 7 000 bills
1 sheet of paper = 6 bills
1 ream = 500 sheets = 3000 bills
1 carton = 10 reams = 30 000 bills
Your suitcase can hold 30 000 bills , so far we only used space for 7000 $100 bills.
for the remaining $300 000 , you don't say how many 20's and how many 10'
worst case, all $10's ....
then we would need 30 000 of these, not enough space.
suppose we take half in 20, and half in 10's
150 000/20 = 7500 bills
150 000/10 = 15000 bills,
15000 in tens + 7500 in 20's + 7000 in 100's = 29500 bills
that would work
Are you sure it did not specify how much in 20's and 10's ?
To determine if $1 million will fit in your suitcase, we need to calculate the maximum amount of money that can fit in one carton of paper.
First, let's find out how many $100 bills can fit in a carton of paper:
- Each sheet of paper can be covered with 6 $100 bills.
- There are 500 sheets of paper in 1 ream.
- There are 10 reams in 1 carton.
So, the total number of $100 bills that can fit in 1 carton is: 500 sheets/ream * 6 $100 bills/sheet * 10 reams/carton = 30,000 $100 bills.
Since the bank only has $700,000 in $100 bills, we need to convert the rest of the money to $100 bills before determining if $1 million will fit in your suitcase.
To convert the remaining amount:
- Subtract $700,000 from $1 million to find the amount in $20 and $10 bills: $1,000,000 - $700,000 = $300,000.
- Since we have both $20 and $10 bills, let's assume we use an equal amount of each.
- Divide $300,000 by 2 to find the amount in $20 and $10 bills: $300,000 / 2 = $150,000.
- Now, let's calculate the number of $100 bills equivalent to $150,000: $150,000 / $100 = 1,500 $100 bills.
Now, let's check if the total number of $100 bills (30,000 + 1,500) will fit in the suitcase (or one carton).
Since the suitcase can hold as much as 1 carton of paper, and 1 carton can hold 30,000 $100 bills, we can conclude that $1 million will fit in your suitcase because the total number of $100 bills is 30,000 + 1,500 = 31,500, which is less than the capacity of the suitcase.
Therefore, $1 million can fit in your suitcase.