Algebra question

Question

You order two burritos and a side dish. The side dish costs $2.50. Youp pay8% sales tax and leave a $3 tip. You pay a total of $13.80. How much

does one burrito cost? Explain each step.

Answer 1

Your total expenditure was $13.80 which includes a $3.00 tip.

Subtract the amount of the tip to get $10.80. This is the amount you paid for the meal including tax of 8%.

$10.80 = 108% or 1.08 times the cost of the food, without tax.

Divide $10.80 by 1.08 to get the untaxed value of the food as $10.00.

The side dish cost $2.50. Subtract this amount from $10.00 to get $7.50, the cost of 2 burritos.

Divide $7.50 by 2 to find each burrito cost $3.75.

Answer 2

Since your total bill was $13.80, this included a tip that is not taxable and 8% tax.

So from your total of $13.80 you need to subtract $3 which equals $10.80 (total cost of food and tax).

Next, (2b +2.50) * 1.08 = 10.80

((2 burritos + side) times tax (multiplied by 100) equals total)

So to solve this, if both sides are divided by 1.08, we get 2b + 2.5= 10. Subtracting 2.5 from each side to balance the equation results in: 2b = 7.5. Then dividing both sides by 2 (again to balance equation) gives us b= $3.75.

To check, substitute ((2* 3.75) + 2.5) * 1.08 + 3= $13.80. I hope this explanation helps.