Question

Daniel wants to share some money between three different charities. He splits £430 into three amounts that he calls A, B and C. The ratio A: B is 5:2 The ratio A: C is 4: 3. Work out how much money C represents.

Answer 1

To find out how much money C represents, we need to set up equations using the given ratios and solve for the unknown amounts. The amount of money C represents is £258.

Step-by-step explanation:

To find out how much money C represents, we need to first determine the amount of money that A represents.

Since the ratio A:B is 5:2, we can use this ratio to set up an equation.

Let x represent the amount of money A represents. This means that B represents 2x.

The ratio A:C is 4:3, so we can set up another equation.

Since A represents x, C represents 3x.

We know that the total amount of money is £430.

So, we can set up a third equation: x + 2x + 3x = 430.

Solving this equation, we find that x = £86.

Therefore, C represents 3x = £258.