The total amount raised is the same for both Roxy and Randy if they sell 50 Plates.
Let the number of plate = 'p'
Roxy :
Selling price of plates = $5.00
Raised = $175
Total plates sold = 5.00p
Total amount raised = 5.00p + 175 ...eq.(1)
Randy :
Selling price of plates = $3.50
Raised = $250
Total plates sold = 3.50p
Total amount raised = 3.50p + 250 ...eq.(2)
Now we will equate the eq.(1) and eq.(2) to find the same amount raised by both Roxy and Randy ,
5.00p + 175 = 3.50p + 250
5.00p - 3.50p =250 - 175
1.5p = 75
p = 75/1.5
p = 50
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