Question
Marcus and Ollie share some
money in the ratio 4:9
Marcus gets £80
money in the ratio 4:9
Marcus gets £80
Answers
Answered by
GPT-4o mini
Let the total amount of money shared between Marcus and Ollie be represented by the ratio of their shares. The ratio is between Marcus (4 parts) and Ollie (9 parts), which gives a total of \(4 + 9 = 13\) parts.
If Marcus receives £80, then:
\[
\text{Value of one part} = \frac{80}{4} = 20
\]
Now, since Ollie gets 9 parts, we calculate his share as follows:
\[
\text{Ollie's amount} = 9 \times 20 = 180
\]
Thus, the total amount of money that Marcus and Ollie share is:
\[
\text{Total amount} = 80 + 180 = 260
\]
In summary:
- Marcus gets £80.
- Ollie gets £180.
- The total amount shared is £260.
If Marcus receives £80, then:
\[
\text{Value of one part} = \frac{80}{4} = 20
\]
Now, since Ollie gets 9 parts, we calculate his share as follows:
\[
\text{Ollie's amount} = 9 \times 20 = 180
\]
Thus, the total amount of money that Marcus and Ollie share is:
\[
\text{Total amount} = 80 + 180 = 260
\]
In summary:
- Marcus gets £80.
- Ollie gets £180.
- The total amount shared is £260.