Question

1. you spent 25 dollars at the store. you need 1 dollar to buy a bag chips and 4 dollars to buy burritos. you bought a total of 10 items at the store. how many bags of chips did you buy at the store?

Explanation:

Define variables for items

Let \(c\) be the number of bags of chips.
Let \(b\) be the number of burritos.

Set up the equations

The total number of items is 10:

$$c + b = 10$$

The total cost is 25 dollars, with chips at 1 dollar each and burritos at 4 dollars each:

$$1c + 4b = 25$$

Express one variable in terms of the other

From the first equation, express \(b\) in terms of \(c\):

$$b = 10 - c$$

Substitute and solve for c

Substitute \(b\) into the cost equation:

$$c + 4(10 - c) = 25$$

$$c + 40 - 4c = 25$$

$$-3c = -15$$

$$c = 5$$

Verify the solution

If \(c = 5\), then \(b = 10 - 5 = 5\).
Check the total cost:

$$1(5) + 4(5) = 5 + 20 = 25$$

The solution is correct.

Answer:

5