please help me solve thank you!!

The values that complete the blanks are 35 and 32
From the figure, we have the following ratio
Blue : Purple = 3 : 5
So, the proportion of purple pieces is:
Purple = 5/(3 + 5)
Purple = 5/8
When there are 56 total pieces, we have:
Purple = 5/8 * 56
Evaluate
Purple = 35
When there are 20 purple pieces, we have:
20 = 5/8 * Total
Multiply both sides by 8/5
Total = 32
Hence, the values that complete the blanks are 35 and 32
Read more about ratio at:
https://brainly.com/question/2328454
#SPJ1