In her art class, Mary colored blocks for her project. For every 5 blocks she colored red, she colored 8 blocks green.
Which of the following correctly shows an equivalent ratio of red blocks to green blocks?
Responses
500:80
500:80
60:96
60:96
15:18
15:18
40:25
The correct equivalent ratio of red blocks to green blocks is 15:18.
This can be found by reducing the ratio of 5 blocks red to 8 blocks green to its simplest form, which is 15:24. Since both numbers are divisible by 3, we can divide them both by 3 to get 5:8. Then, we can multiply both numbers by 3 to get a more manageable ratio, which is 15:24. Finally, we can simplify this ratio by dividing both numbers by 3 again to get the equivalent ratio of 5:8, which simplifies further to 15:24 and ultimately to 15:18.
To find an equivalent ratio of red blocks to green blocks, we need to find a common factor for both numbers.
In the given situation, Mary colored 5 blocks red for every 8 blocks green.
To find a common factor, we need to find a number that both 5 and 8 can be divided evenly by.
The factors of 5 are 1 and 5, while the factors of 8 are 1, 2, 4, and 8.
The only common factor is 1, so if we multiply both numbers by 1, the ratio remains the same.
Therefore, the correct equivalent ratio of red blocks to green blocks is 5:8.
To find an equivalent ratio for the number of red blocks to green blocks, we need to find a common factor that can divide both the number of red blocks and the number of green blocks.
Let's start with the given ratio of 5:8 (red blocks : green blocks).
If we divide both 5 and 8 by their greatest common factor, we can find an equivalent ratio.
The greatest common factor of 5 and 8 is 1, so we can divide both numbers by 1.
5 divided by 1 is 5, and 8 divided by 1 is 8.
Therefore, an equivalent ratio of red blocks to green blocks is 5:8, which means the correct option is:
5:8