3
algebraA baker needs to mix flour that costs $2 per pound with flour that costs $5 per pound to create 60 pounds of a mixture that costs $3.50 per pound. How many pounds of the $2 flour are needed?
A
25 pounds
B
30 pounds
C
35 pounds
D
40 pounds
Correct Answer: B
Choice B is the correct answer. Let = pounds of $2 flour and = pounds of $5 flour.
System:
Step 1: Simplify:
Step 2: From first:
Step 3: Substitute:
Solution: 30 pounds of $2 flour (and 30 pounds of $5 flour)
Verification: ✓ and ✓
💡 Strategic Tip: The mixture's total value = sum of individual values.
Choice A is incorrect because .
Choice C is incorrect because .
Choice D is incorrect because .