Benjamin found a bag of money. He decided to give 1/2 of the money to his best friend, 1/4 of the money to his sister, 1/8 of the money to his mother, and 1/16 of the money to his dad. The amount of money that was left was $1.25.
How much money was in the bag when Benjamin found it?
To find out how much money was in the bag when Benjamin found it, we can work backward by adding up the amounts he gave to each person and the amount that was left.
Let's start with the amount that was left in the bag, which is $1.25.
Next, we can calculate the total amount given to Benjamin's dad, which is 1/16 of the money in the bag. To find this amount, we can multiply $1.25 by 1/16.
$1.25 * (1/16) = $0.078125
Therefore, Benjamin gave $0.078125 to his dad.
Now, we can calculate the total amount given to Benjamin's mother, which is 1/8 of the money in the bag. To find this amount, we can multiply $1.25 by 1/8.
$1.25 * (1/8) = $0.15625
Therefore, Benjamin gave $0.15625 to his mother.
Next, we can calculate the total amount given to Benjamin's sister, which is 1/4 of the money in the bag. To find this amount, we can multiply $1.25 by 1/4.
$1.25 * (1/4) = $0.3125
Therefore, Benjamin gave $0.3125 to his sister.
Finally, we can calculate the total amount given to Benjamin's best friend, which is 1/2 of the money in the bag. To find this amount, we can multiply $1.25 by 1/2.
$1.25 * (1/2) = $0.625
Therefore, Benjamin gave $0.625 to his best friend.
To find out how much money was in the bag when Benjamin found it, we can add up the amounts given to each person and the amount that was left:
$0.625 (best friend) + $0.3125 (sister) + $0.15625 (mother) + $0.078125 (dad) + $1.25 (left) = $2.421875
Therefore, there was $2.421875 in the bag when Benjamin found it.