Question

matthew and his children went into a movie theater where they sell drinks for $5 each and pretzels for $3 each. matthew has $75 to spend and must buy a minimum of 17 drinks and pretzels altogether. if matthew decided to buy 6 drinks, determine the maximum number of pretzels that he could buy.

Explanation:

Step1: Calculate cost of 6 drinks

$\text{Cost of drinks} = 6 \times 5 = 30$

Step2: Find remaining money for pretzels

$\text{Remaining money} = 75 - 30 = 45$

Step3: Calculate max pretzels from budget

$\text{Max from budget} = \frac{45}{3} = 15$

Step4: Check total item minimum

$\text{Total items} = 6 + 15 = 21$, which is $\geq 17$

Answer:

15