Answer:
3³/₁₀ batches
Step-by-step explanation:
Let L = the batches of lemon cookies. Then,
3²/₁₀ + 7⁸/₁₂ + L = 14¹/₆ Multiply each side by 60
192 + 460 + 60L = 850 Combine like terms
652 + 60L = 850 Subtract 652 from each side
60L = 198 Divide each side by 60
L = ¹⁹⁸/₆₀ Convert to mixed fraction
L = 3¹⁸/₆₀ Reduce to lowest terms
L = 3³/₁₀
Ali made 3³/₁₀ batches of lemon cookies.
Check:
3²/₁₀ + 7⁸/₁₂ + 3³/₁₀ = 14¹/₆
32/10 + 92/12 + 33/10 = 85/6
192/60 + 460/60 + 198/60 = 850/60
850/60 = 850/60
