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A bead shop sells wooden beads for $0.20 each and crystal beads for $0.50 each. If a jewelry artist buys 127 beads total and pays $41 for them, how much more did she spend on crystal beads than wooden beads

Sagot :

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

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