The ratio of the monthly incomes of A and B is 4 : 3. The ratio of their monthly expenditures is 5 : 4. If A saves one fourth of their monthly income, find their monthly savings.
Please help me with this.
To find their monthly savings, we first need to determine their monthly incomes.
Let's represent the monthly incomes of A and B as 4x and 3x, respectively, where x is a common factor.
Next, let's determine their monthly expenditures. The ratio of their monthly expenditures is given as 5:4.
We can represent their monthly expenditures as 5y and 4y, where y is a common factor.
Now, we can set up an equation based on the information given:
4x - 1/4 * 4x = 5y
3x - 1/4 * 3x = 4y
Simplifying these equations, we get:
3x = 5y
3x = 4y
We can solve these equations simultaneously to find the values of x and y. Dividing both equations, we get:
(3x)/(3x) = (5y)/(4y)
1 = 5/4
This implies that 1 = 5/4. However, since this is not true, there is no specific value of x and y that satisfies both equations simultaneously.
Hence, we cannot determine the exact monthly savings of A and B with the information provided.