Question 1014002
Call their prices m and v.  We have
5m + 3v = 41
7m + 9v = 85
Now multiply the top one by three and subtract it from the bottom one...
7m + 9v = 85
-(15m + 9v = 123)
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-8m = -38
m = 38/8 = $4.75  so that 
5(4.75) + 3v = 41
23.75 + 3v = 41
3v = 17.25
v = $5.75