Divide 6400 in the ratio 3:5
let the parts be 3x and 5x
3x+5x=6400
x = 800
so 3x = 2400 and 5x = 4000
check it out ,
2400+4000 = 6400
2400 : 4000
= 3(800) : 5(800)
= 3 : 5
Sure! Let's divide 6400 in the ratio 3:5.
To find the value of the first part of the ratio, we can use the formula:
First part = Total value / Sum of the ratio parts * First ratio part
So, the first part will be:
First part = 6400 / (3 + 5) * 3
First part = 6400 / 8 * 3
First part = 2400
And the value of the second part will be:
Second part = 6400 / (3 + 5) * 5
Second part = 6400 / 8 * 5
Second part = 4000
So, if you divide 6400 in the ratio 3:5, the first part will be 2400 and the second part will be 4000.
To divide a quantity in a given ratio, we need to divide it into parts based on the ratio. In this case, we need to divide 6400 in the ratio of 3:5.
Step 1: Calculate the total parts in the ratio
The ratio is 3:5, so the total number of parts is 3 + 5 = 8.
Step 2: Calculate the value of each part
To find the value of each part, divide 6400 by the total number of parts:
6400 / 8 = 800
Step 3: Multiply the value of each part by the ratio parts
To divide 6400 in the ratio 3:5, multiply the value of each part (800) by the respective parts of the ratio:
3 parts * 800 = 2400
5 parts * 800 = 4000
So, dividing 6400 in the ratio 3:5 gives us 2400 and 4000 parts respectively.
To divide 6400 in the ratio 3:5, we need to find the individual parts that make up the total.
Step 1: Calculate the total number of parts
The ratio 3:5 can be combined to form a ratio of 3 + 5 = 8 parts.
Step 2: Find the value of one part
To find the value of one part, divide the total (6400) by the number of parts (8):
6400 ÷ 8 = 800
Step 3: Multiply the value of one part by the ratio values
To find the parts according to the ratio, multiply the value of one part (800) by each of the ratio values:
Part 1: 3 × 800 = 2400
Part 2: 5 × 800 = 4000
Therefore, to divide 6400 in the ratio 3:5, you would have 2400 and 4000.