A sum of money divided into two part in the ratio 5:7. if the smaller amount is $200, find the larger amount
200/5 = 40, so
5:7 = 200:280
You also can solve that on tis way.
200 = smaller amount
x = larger amount
A sum of money divided into two part in the ratio 5:7 , the smaller amount is $200 means:
5 / 7 = 200 / x
Cross multiply
5 x = 7 • 200 = 1400
x = 1400 / 5 = 280
or this way:
smaller amount : larger amount = 5:7 = 5x : 7x
given: 5x = 200
x = 40
so larger amount = 7x = 280
To find the larger amount, we need to determine the ratio between the two parts and then scale it up according to the given information.
Let's represent the two parts as 5x and 7x, where x is a common factor.
We know that the smaller amount is $200, which corresponds to the 5x part. So, we can set up the following equation:
5x = $200
To solve for x, we can divide both sides of the equation by 5:
x = $200 / 5
x = $40
Now that we have the value of x, we can find the larger amount by substituting it back into the equation for the larger part:
7x = 7 * $40
7x = $280
Therefore, the larger amount is $280.