how do you decide how many boxes to draw when you split an amount of money using ratio?
When splitting an amount of money using a ratio, you can decide how many boxes to draw by following these steps:
Step 1: Understand the ratio
Make sure you have a clear understanding of the given ratio. A ratio compares the amounts of different items or quantities. It is usually given in the form "a:b" or "a to b," where "a" and "b" are numbers.
Step 2: Determine the total number of parts
Add up the numbers in the ratio to find the total number of parts. For example, if the ratio is 2:3, the total number of parts is 2 + 3 = 5.
Step 3: Allocate boxes based on the ratio
Divide the total amount of money equally into the total number of parts. Each part represents an equal portion of the money.
For example, let's say you have $500 to divide in the ratio 2:3. To find the amount in each part, divide $500 by the total number of parts (5):
$500 ÷ 5 = $100
This means each part is worth $100.
Step 4: Multiply the parts by the corresponding ratio values
Multiply the value of each part by the respective value in the ratio to determine the amount of money allocated to each part.
In our example, multiply $100 by 2 and 3:
2 parts x $100/part = $200
3 parts x $100/part = $300
So, according to the ratio, $200 would be allocated to one box and $300 to the other box.
Step 5: Verify the total distribution
To confirm that you have calculated correctly, add up the amounts allocated in each box. The total should equal the total amount of money given at the beginning.
In this case, $200 + $300 = $500, which matches the original amount.
Remember, these steps apply when splitting money using a ratio. Adjust the process accordingly if you are splitting other resources or quantities.