When the movie is half over, popcorn sells for half price. Which expression can be used to determine the new cost for 3 orders of popcorn and 3 drinks?

Question

(1 point)
Responses

12[3(3.50)+3(1.35)]
1 half times open bracket 3 times 3 point 5 0 plus 3 times 1 point 3 5 close bracket

12(3.50)+3(1.35)
1 half times 3 point 5 0 plus 3 times 1 point 3 5

(3.50)(3)÷12+1.35
3 point 5 0 times 3 divided by 1 half plus 1 point 3 5

3[12(3.50)+1.35]

Answer 1

To determine the new cost for 3 orders of popcorn (at half price) and 3 drinks, we need to break it down into the costs of the popcorn and the drinks.

1. The original cost of each order of popcorn is $3.50.
2. Since popcorn is half price after halving the movie's duration, the new cost per order becomes \( \frac{3.50}{2} = 1.75 \).
3. The cost for 3 orders of popcorn is therefore \( 3 \times 1.75 = 3 \times \frac{3.50}{2} = \frac{3 \times 3.50}{2} = \frac{10.50}{2} = 5.25 \).
4. The cost for 3 drinks (at $1.35 each) is \( 3 \times 1.35 = 4.05 \).

Now, combine the costs:

• Total cost for popcorn: \( \frac{3 \times 3.50}{2} = \frac{10.50}{2} = 5.25 \)
• Total cost for drinks: \( 3 \times 1.35 = 4.05 \)

Thus, the expression to find the total cost would be: \[ \frac{1}{2}(3 \times 3.50) + 3 \times 1.35 \]

This matches the expression: 1 half times open bracket 3 times 3.50 plus 3 times 1.35 close bracket.