Answer:
See Explanation
Explanation:
Given
![Red:Blue = 2 : 3](https://img.qammunity.org/2022/formulas/mathematics/high-school/k3kofhvm1ajp7xilx5g0017y269ieyymx2.png)
Required
Determine the possible number of blue and red marbles
This question requires options. Since none were given, I'll answer on a general term.
To get the possible amount of each marble, we simply multiply the ratio by the same factor.
Take for instance.
Multiply ratio by 15
![Red:Blue = 2 : 3](https://img.qammunity.org/2022/formulas/mathematics/high-school/k3kofhvm1ajp7xilx5g0017y269ieyymx2.png)
![Red:Blue = 2 *15: 3*15](https://img.qammunity.org/2022/formulas/mathematics/high-school/ud23iyma11k9nss8rvko71jebzj2lis5c8.png)
![Red:Blue = 30: 45](https://img.qammunity.org/2022/formulas/mathematics/high-school/qw2c308oouegw7x2dgeyttho1yvjqzvgew.png)
This means that:
and
![Blue = 45](https://img.qammunity.org/2022/formulas/mathematics/high-school/9152261p1iigx5regnim70ip4m1alj1i43.png)
Another possible amount is: multiply by 10
![Red:Blue = 2 : 3](https://img.qammunity.org/2022/formulas/mathematics/high-school/k3kofhvm1ajp7xilx5g0017y269ieyymx2.png)
![Red:Blue = 2 *10: 3*10](https://img.qammunity.org/2022/formulas/mathematics/high-school/2rr6tlxj5s490fe8ef3owp1njjtcdo6bzp.png)
![Red:Blue = 20: 30](https://img.qammunity.org/2022/formulas/mathematics/high-school/24c55mlv4l5nq7eymqzfk6ivvy1yu1t2kg.png)
This means that:
and
![Blue = 30](https://img.qammunity.org/2022/formulas/mathematics/high-school/k96ov9lcqys2jj9xb01jzm8a9hnmlhlsbs.png)
So, all you need to do is to multiply by the same factor