Alan and George receive some money in the ratio 2:5. The total received was £490, how much did George get?
the amounts are 2x and 5x
7x = 490
so, ...
To find out how much George received, we first need to determine the ratio in terms of parts. In this case, the ratio is given as 2:5, which means that for every 2 parts Alan receives, George receives 5 parts.
Next, we can determine the value of each part by dividing the total amount received (£490) by the sum of the ratio parts. In this case, we add 2 + 5 to get 7.
£490 / 7 = £70.
This means that each part of the ratio is equal to £70.
Since we know that George received 5 parts, we can simply multiply 5 by £70 to find out how much George got.
5 parts * £70 = £350.
Therefore, George received £350.