QuestionMegan has 55 prizes and fills 12 bags equally. After filling 6 bags, what fraction of the prizes remains?

Studdy Solution

STEP 1

Assumptions1. The total number of prizes is55. The total number of bags is123. An equal number of prizes is put in each bag4. After filling6 bags, we need to find the fraction of prizes left

STEP 2

First, we need to find out how many prizes are put in each bag. We can do this by dividing the total number of prizes by the total number of bags.
$Prizes\, per\, bag = Total\, prizes / Total\, bags$

STEP 3

Now, plug in the given values for the total number of prizes and total number of bags to calculate the prizes per bag.
$Prizes\, per\, bag =55 /12$

STEP 4

Calculate the prizes per bag. As we want to put an equal number of prizes in each bag, we will take the floor value of the division.
$Prizes\, per\, bag = \lfloor55 /12 \rfloor =4$

STEP 5

Now that we have the number of prizes per bag, we can find out how many prizes are left after filling bags. We can do this by subtracting the number of prizes used from the total number of prizes.
$Prizes\, left = Total\, prizes - (Prizes\, per\, bag \\times Bags\, filled)$

STEP 6

Plug in the values for the total number of prizes, prizes per bag, and number of bags filled to calculate the prizes left.
$Prizes\, left =55 - (4 \\times6)$

STEP 7

Calculate the number of prizes left.
$Prizes\, left =55 - (4 \\times6) =31$

STEP 8

Now that we have the number of prizes left, we can find the fraction of the total prizes that are left. We can do this by dividing the number of prizes left by the total number of prizes.
$Fraction\, of\, prizes\, left = Prizes\, left / Total\, prizes$

STEP 9

Plug in the values for the number of prizes left and the total number of prizes to calculate the fraction of prizes left.
$Fraction\, of\, prizes\, left =31 /55$ After filling6 bags, Megan has31/55 of the prizes left.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms