Question

At a snack booth,one bottle of sports drink,one banana,and 2 bags of granola cost 7.50, 2 bottles of sports drinks, 2 bananas,and 2 granola bags cost 11, one bottle of sports drink and 3 bags of granola cost 8.50, what’s the price of one granola bag?

Answer 1

The price of one granola bag is $2.

Step-by-step explanation:

Let's assign variables to represent the prices of the items:

• Let x be the price of one bottle of sports drink
• Let y be the price of one banana
• Let z be the price of one bag of granola

Using the given information, we can create a system of equations:

Equation 1: x + y + 2z = 7.50

Equation 2: 2x + 2y + 2z = 11

Equation 3: x + 3z = 8.50

We can solve this system of equations using substitution or elimination method. Let's use the elimination method.

Multiplying Equation 1 by 2 gives us: 2x + 2y + 4z = 15

Subtracting Equation 2 from this gives us: 0x + 0y + 2z = 4

Simplifying, we get: 2z = 4

Dividing both sides by 2, we find z = 2

Therefore, the price of one granola bag is $2.