Mwachia and Mbuu shared some money in the ratio 5:2. Mbuu received sh 30 less than Mwachia. How much money did Mbuu get?
5 / 2 = (x + 30) / x
5x = 2x + 60
To solve this problem, we can set up a system of equations based on the given information. Let's denote the amount of money that Mwachia received as "Mw" and the amount of money that Mbuu received as "Mb".
We know that the ratio of the money shared between Mwachia and Mbuu is 5:2. This means that the ratio of the amounts can be written as:
Mw / Mb = 5 / 2
We also know that Mbuu received sh 30 less than Mwachia. This can be represented as:
Mb = Mw - 30
We can substitute the value of Mb in terms of Mw from the second equation into the first equation:
Mw / (Mw - 30) = 5 / 2
Now, we can cross multiply to solve for Mw:
2 * Mw = 5 * (Mw - 30)
2Mw = 5Mw - 150
Subtracting 5Mw from both sides, we have:
-3Mw = -150
Dividing both sides by -3, we get:
Mw = 50
Now that we know the amount Mwachia received, we can substitute it back into the second equation to find the amount Mbuu received:
Mb = 50 - 30
Mb = 20
Therefore, Mbuu received sh 20.