Question

Complete the real-world situation that could be modeled by the equation 110 − 4x = 130 − 8x.

Xavier has $110 in his lunch account. He spends $__________
for lunch each day. Zack has $___________
in his lunch account. He spends $__________________
each day. After how many days will the boys have the same amount of money in their accounts?

Answer 1

The asnwer is x = 5

Explanation:

I showed my work

Answer 2

x = 5

Explanation:

Pay attention to the equation here, because it's all you'll need to solve the problem. Look at the numbers tied to our variable x; 4 and 8. We can assume that x is the number of days and these numbers are what Xavier and Zack spend each day for lunch.

They already told you that Xavier has $110 in his bank account, so we can assume that all the information we need for him is on the left side of the equation (110 - 4x). Being that x represents the number of days and the number tied to it is the amount spent on lunch, we can see that Xavier spends $4 for lunch every day.

The right side of the equation is for Zack. Zack has $130 in his bank account and spends $8 for lunch every day.

Now to solve for our equation:

110 - 4x = 130 - 8x

1. Subtract 110 from both sides: (110 - 110) - 4x = (130 - 110) - 8x
2. Simplify: -4x = -8x + 20
3. Add 8x to both sides: (-4x + 8x) = (-8x + 8x) + 20
4. Simplify: 4x = 20
5. Divide both sides by 4: (4x / 4) = (20 / 4)
6. Simplify: x = 5

And so, we can see that x equals five. So, Xavier and Zack will have the same amount in their accounts after five days. To check:

110 - 4(5) = 130 - 8(5)

110 - 20 = 130 - 40

90 = 90