Question

If Taylor bought 2 hot dogs and 2 sodas for $3.50. Jacob bought 3 hot dogs and 1 soda for $4.25,what is the cost of 1 soda?

Answer 1

By creating and solving a system of equations based on the given information, we can find that the cost of one soda is $0.50.

Step-by-step explanation:

To solve this problem we have to create an equation for each set of purchases. Let's denote hot dogs as 'h' and sodas as 's'. Thus, the two equations could be written as follows:

1. 2h + 2s = 3.50 (from Taylor's purchases)
2. 3h + s = 4.25 (from Jacob's purchases)

Multiply the second equation by 2:

6h + 2s = 8.5

Subtract the first equation from this new equation to find 'h' (the price of a hot dog):

4h = 5 => h = 1.25

Substitute 'h' in first equation to find the value of 's' (price of one soda):

2*1.25 + 2s = 3.50 => s = 0.5

So, the cost of one soda is $0.50.

Learn more about Cost of One Soda