Rashad purchased movies tickets for himself and two friends. After buying the tickets, he has $17 left over to buy snacks for the movie. Snack prices (including tax) are shown below:

candy: $1.50
popcorn: $4.00
drink: $2.75

which of the following of snacks could Rashad purchase

3 answers

To determine which snacks Rashad could purchase with his $17, we can analyze the combinations of snacks possible within that budget. Here are the prices of the snacks again:

  • Candy: $1.50
  • Popcorn: $4.00
  • Drink: $2.75

We can check different combinations of these snacks that could total $17 or less. Here are a few possible combinations:

  1. All Candy:

    • If Rashad buys only candy:
    • \( \frac{17}{1.50} \approx 11.33 \)
    • He can buy 11 pieces of candy for \( 11 \times 1.50 = 16.50 \) (Remaining: $0.50)
  2. All Popcorn:

    • If he buys only popcorn:
    • \( \frac{17}{4.00} = 4.25 \)
    • He can buy 4 bags of popcorn for \( 4 \times 4.00 = 16.00 \) (Remaining: $1.00)
  3. All Drinks:

    • If he buys only drinks:
    • \( \frac{17}{2.75} \approx 6.18 \)
    • He can buy 6 drinks for \( 6 \times 2.75 = 16.50 \) (Remaining: $0.50)
  4. Combination of Snacks:

    • 2 Popcorn, 3 Drinks:
      • \( 2 \times 4.00 + 3 \times 2.75 = 8.00 + 8.25 = 16.25 \) (Remaining: $0.75)
    • 3 Popcorn, 2 Candy:
      • \( 3 \times 4.00 + 2 \times 1.50 = 12.00 + 3.00 = 15.00 \) (Remaining: $2.00)
    • 4 Candy, 1 Drink:
      • \( 4 \times 1.50 + 2.75 = 6.00 + 2.75 = 8.75 \) (Remaining: $8.25)

Rashad can combine snacks in numerous ways as long as the total cost doesn't exceed $17. The combinations provided above show some valid options. Rashad can purchase different quantities and combinations of candy, popcorn, and drinks as long as the total stays within his budget of $17.

answer choices

2 drinks and 3 popcorns

3 popcorns and 3 candies

4 popcorns and 1 candy

4 drinks and 2 popcorns

Let's calculate the total cost of each of the given options to see which ones Rashad can afford with his $17 budget:

  1. 2 drinks and 3 popcorns

    • Cost:
      • 2 drinks: \(2 \times 2.75 = 5.50\)
      • 3 popcorns: \(3 \times 4.00 = 12.00\)
    • Total: \(5.50 + 12.00 = 17.50\) (Too expensive)
  2. 3 popcorns and 3 candies

    • Cost:
      • 3 popcorns: \(3 \times 4.00 = 12.00\)
      • 3 candies: \(3 \times 1.50 = 4.50\)
    • Total: \(12.00 + 4.50 = 16.50\) (Within budget)
  3. 4 popcorns and 1 candy

    • Cost:
      • 4 popcorns: \(4 \times 4.00 = 16.00\)
      • 1 candy: \(1 \times 1.50 = 1.50\)
    • Total: \(16.00 + 1.50 = 17.50\) (Too expensive)
  4. 4 drinks and 2 popcorns

    • Cost:
      • 4 drinks: \(4 \times 2.75 = 11.00\)
      • 2 popcorns: \(2 \times 4.00 = 8.00\)
    • Total: \(11.00 + 8.00 = 19.00\) (Too expensive)

Based on these calculations, the only combination that Rashad can afford within his $17 budget is:

3 popcorns and 3 candies (Total: $16.50)