Question

A juice bar will sell a box of 14 smoothies for $49. An individual smoothie costs $4. You need at least 40 smoothies. Find the price of each combination of items.

a. 40 individual smoothies: $160, 1 box of 14 smoothies and 26 individual smoothies: $109, 2 boxes of 14 smoothies and 12 individual smoothies: $218, 3 boxes of 14 smoothies: $327
b. 40 individual smoothies: $160, 1 box of 14 smoothies and 26 individual smoothies: $109, 2 boxes of 14 smoothies and 12 individual smoothies: $218, 3 boxes of 14 smoothies: $429
c. 40 individual smoothies: $160, 1 box of 14 smoothies and 26 individual smoothies: $98, 2 boxes of 14 smoothies and 12 individual smoothies: $196, 3 boxes of 14 smoothies: $294
d. 40 individual smoothies: $160, 1 box of 14 smoothies and 26 individual smoothies: $109, 2 boxes of 14 smoothies and 12 individual smoothies: $218, 3 boxes of 14 smoothies: $345

Answer 1

The correct total prices for the combinations of smoothies to reach at least 40 smoothies are found in Option C: 40 individual smoothies for $160, 1 box and 26 individual smoothies for $98, 2 boxes and 12 individual smoothies for $196, and 3 boxes for $294.

Step-by-step explanation:

The question requires us to calculate the total price of different combinations of smoothies to reach a minimum quantity of 40 smoothies.

Option A Calculation:

• 40 individual smoothies cost 40 × $4 = $160.
• 1 box of 14 smoothies and 26 individual smoothies cost $49 + 26 × $4 = $153.
• 2 boxes of 14 smoothies and 12 individual smoothies cost 2 × $49 + 12 × $4 = $190.
• 3 boxes of 14 smoothies cost 3 × $49 = $147.

Option C Calculation:

Based on the provided option C:

• 40 individual smoothies: $160
• 1 box of 14 smoothies and 26 individual smoothies: $98
• 2 boxes of 14 smoothies and 12 individual smoothies: $196
• 3 boxes of 14 smoothies: $294

Therefore, the correct calculations for the cost of 40 smoothies through different combinations of boxes and individual smoothies are outlined in Option C.