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Since the bases on either side match (5), the exponents must be equal. So
3b - 1 = b - 3
Solve for b :
3b - b = -3 + 1
2b = -2
b = -1
The total number of paper cups that Tony can fill with the available lemonade is 5 quarts
Step by step explanation :
Step 1 :
Total quantity of lemonade Tony has = 2 quarts =
quarts
Total quantity of lemonade that the paper cup can hold = quarts
We need to find the total number of paper cups that can be filled with the available lemonade.
Step 2 :
The number of paper cups that can be filled with the available lemonade can be obtained by dividing the total available lemonade with the quantity that each cup can hold.
Hence the total number of paper cups = ×
= = 5
quarts
Step 3 :
Answer :
The total number of paper cups that Tony can fill with the available lemonade is 5 quarts