Question

a movie theater in town posted these prices for tickets and snacks.

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$$\begin{tabular}{|c|c|} \\hline item & cost \\\\ \\hline adult ticket & \\$9.00 \\\\ \\hline child ticket & \\$6.00 \\\\ \\hline drink & \\$1.35 \\\\ \\hline popcorn & \\$3.50 \\\\ \\hline veggie cup & \\$1.74 \\\\ \\hline soft pretzel & \\$2.65 \\\\ \\hline apple slices & \\$3.85 \\\\ \\hline \\end{tabular}$$

sally and anne went to the movies. they each purchased a drink. they also bought one popcorn and one veggie cup to share. which expression can be used to find how much money each woman spent?

\\(\bigcirc \frac{1}{2}(9 + 1.35 + 3.50 + 1.74)\\)

\\(\bigcirc 9 + 1.35 + \frac{1}{2}(3.50 + 1.74)\\)

\\(\bigcirc 18 + 2.70 + \frac{1}{2}(3.50 + 1.74)\\)

\\(\bigcirc 9 + 1.35 + 2(3.50 + 1.7)\\)

Explanation:

Identify individual costs

Using the Multi-step Cost Expression knowledge point

• Adult ticket: \(\$9.00\)
• Drink: \(\$1.35\)
• Popcorn: \(\$3.50\)
• Veggie cup: \(\$1.74\)

Determine individual purchases

Using the Writing Expressions knowledge point

• Sally and Anne each buy 1 adult ticket and 1 drink.
• Individual cost for these items: \(9 + 1.35\)

Determine shared purchases

Using the Writing Expressions knowledge point

• They buy 1 popcorn and 1 veggie cup to share equally.
• Shared cost: \(3.50 + 1.74\)
• Each person's share of these items: \(\frac{1}{2}(3.50 + 1.74)\)

Combine to find individual spending

Using the Writing Expressions knowledge point

• Total spent by each woman:

$$ 9 + 1.35 + \frac{1}{2}(3.50 + 1.74) $$

Answer:

• (A) \(\frac{1}{2}(9+1.35+3.50+1.74)\)
• (B) \(9+1.35+\frac{1}{2}(3.50+1.74)\) (Correct answer)
• (C) \(18+2.70+\frac{1}{2}(3.50+1.74)\)
• (D) \(9+1.35+2(3.50+1.7)\)