3
algebraA grocer mixes tea worth $6/lb with tea worth $9/lb. How many pounds of the $9 tea should be mixed with 12 pounds of the $6 tea to create a blend worth $7/lb?
A
4 pounds
B
5 pounds
C
6 pounds
D
8 pounds
Correct Answer: C
Choice C is the correct answer. Let = pounds of $9 tea.
Equation:
Step 1: Multiply both sides by :
Solution: 6 pounds
Verification: ✓
💡 Strategic Tip: Weighted average = total value ÷ total weight.