Pre Algebra: Word Problems – Several Steps

1. (E)

$ 6 \, \text{Seats per Row} \times 30 \, \text{Rows per Section} \times 3 \, \text{Sections} = 540 \, \text{Seats}$

2. D 

$ 2w = m $ 

$ m - 5 = w + 1 \dashrightarrow m = w + 6 $

$ 2w = w + 6 \dashrightarrow w = 6 $

$ m = 2 \times w = 2 \times 6 = 12 $

$ \text{Total People at the End} = (m-5) + (w+1) = (12-5) + (6 + 1) = 7 + 7 = 14 $

3. (C)

$ 1 \cdot x + y \cdot \dfrac{-1}{4} = 11 $

$ x + y = 16 \dashrightarrow x = 16 - y $

$ 16 - y + \dfrac{-1}{4} \cdot y = 11 $

$ \dfrac{5}{4} \cdot y = 5 $

$ y = 4 $ 

$ x + y = 16 \dashrightarrow x = 12 $

4. 16