Math Problem Statement

if $35 for 11 drinks, how much is 190 drinks

Solution

To solve this, we can use the unit rate, which is the cost per drink.

Given:

  • 35 dollars for 11 drinks.

Step 1: Find the cost per drink

Cost per drink=3511=3.18dollars (rounded to 2 decimal places).\text{Cost per drink} = \frac{35}{11} = 3.18 \, \text{dollars (rounded to 2 decimal places)}.

Step 2: Calculate the cost for 190 drinks

Now, multiply the cost per drink by 190: Total cost for 190 drinks=3.18×190=604.2dollars.\text{Total cost for 190 drinks} = 3.18 \times 190 = 604.2 \, \text{dollars}.

Thus, the cost for 190 drinks is $604.20.

Would you like further clarification or details?

Here are 5 related questions for practice:

  1. What is the cost for 50 drinks at the same rate?
  2. If 50 drinks cost $200, how much would 190 drinks cost?
  3. What would be the cost for 25 drinks?
  4. How many drinks can you get for $100 at this rate?
  5. If the price per drink increases by 10%, what would the new cost for 190 drinks be?

Tip: When dealing with proportional problems, finding the unit rate (cost per unit) first simplifies larger calculations.

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Math Problem Analysis

Mathematical Concepts

Unit Rate
Proportion
Multiplication

Formulas

Cost per drink = Total cost / Number of drinks
Total cost = Cost per drink × Number of drinks

Theorems

Proportionality

Suitable Grade Level

Grades 6-8