https://file.aiquickdraw.com/mathbot/file/17274718861776hr290nw.jpg

The problem can be solved step by step using algebra. Let's define the variables and equations based on the given conditions.

### Definitions:
- Price of a drink = $2
- Price of a taco = $3.50
- Eli has $45 to spend.
- Eli must buy at least 15 drinks and tacos altogether.
- Eli decided to buy 6 tacos, so the number of drinks is what we need to find.

### Step 1: Set up the equations
Let:
- $ d $ = the number of drinks Eli buys.

Eli buys 6 tacos, so the cost of tacos is:
\[
6 \times 3.50 = 21 \, \text{dollars}.
\]

This leaves:
\[
45 - 21 = 24 \, \text{dollars for drinks}.
\]

Each drink costs $2, so the number of drinks Eli can buy is:
\[
d = \frac{24}{2} = 12.
\]

### Step 2: Check the total number of items
Eli needs at least 15 items (drinks and tacos), and since he bought 6 tacos, we need:
\[
d + 6 \geq 15.
\]
Thus, Eli needs to buy at least 9 drinks.

### Conclusion:
Eli can buy anywhere between 9 and 12 drinks, as those values satisfy both the budget and the condition that the total number of drinks and tacos must be at least 15.

### Final Answer:
The possible values for the number of drinks Eli could buy are 9, 10, 11, or 12.

Would you like more details on any part of the explanation? Here are 5 related questions you might find helpful:

1. How would the solution change if Eli bought a different number of tacos?
2. What if the prices of drinks and tacos were different?
3. How do we solve the problem if the total number of items required was greater than 15?
4. How would we handle this problem if Eli had a smaller budget?
5. What if Eli decided not to buy any tacos at all?

**Tip:** When dealing with multiple constraints in a problem (like money and number of items), it's often helpful to write separate equations for each condition.

Eli and his children went into a restaurant where they sell drinks for $2 each and tacos for $3.50 each. Eli has $45 to spend and must buy no less than 15 drinks and tacos altogether. If Eli decided to buy 6 tacos, determine all possible values for the number of drinks that he could buy.

Explore how to determine the number of drinks Eli could buy under budget constraints when he buys 6 tacos, with a requirement to purchase at least 15 items in total. This problem covers algebraic concepts including linear equations and inequalities.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation