Answer:
$30 and $24
Explanation:
Hello! We can rewrite ratios as 5x:4x because essentially we can put x in for any value and it would still be the same ratio (10:8, 15:12). So we will put x there just to make it easier to understand.
You know that the ratio of 5x:4x adds up to 54. And, now that we have the x, we can do a nifty trick. We can add 5x and 4x to get 9x. Now we have 9x = 54. If we simplify this, we get x = 6.
Now that we have x = 6, we can plug in that value in the ratio 5x:4x. 5 * 6 = 30 and 4 * 6 is 24
And that is exactly your answer: 30 and 24 dollars respectively
If you want to test it, you can add the two numbers to see if it adds to the number you want it to. After that, you can put it in a ratio and simplify it to see if it simplifies down to the same ratio. In this case, the two numbers satisfy both conditions.
Let me know if you have any questions!