Answer: The jewelry artist spent $11 more on crystal beads than on wooden beads.
Step-by-step explanation:
Step 1: Solve for one variable
From the first equation:
w=127−c
Substitute ww in the second equation:
0.20(127−c)+0.50c=41
Step 2: Simplify and solve for cc
25.4−0.20c+0.50c=41
0.30c=41−25.4
0.30c=15.6
c=15.60.30=52
c=0.3015.6=52
Step 3: Find ww using cc
w=127−52=75
Step 4: Calculate the amount spent on each type of bead
Amount spent on wooden beads:
0.20×75=15
Amount spent on crystal beads:
0.50×52=26
Step 5: Determine the difference in spending
26−15=11