Question
write an solve an equation
You went to lunch with your friend and the bill was $28.00. Your lunch was $4.00 more than your friend's. How much was your friend's lunch?
You went to lunch with your friend and the bill was $28.00. Your lunch was $4.00 more than your friend's. How much was your friend's lunch?
Answers
GPT 3.5
To solve the equation, let's assume the cost of your friend's lunch is x.
Since your lunch was $4.00 more, your lunch would be (x + $4.00).
Adding your friend's lunch cost to your lunch cost should equate to the total bill, which is $28.00.
So, the equation becomes: x + (x + $4.00) = $28.00.
Combining like terms, we have: 2x + $4.00 = $28.00.
To isolate the variable, subtract $4.00 from both sides: 2x = $28.00 - $4.00.
Simplifying the right side of the equation gives: 2x = $24.00.
Finally, we can solve for x by dividing both sides by 2: x = $24.00 / 2.
Therefore, the cost of your friend's lunch (x) is $12.00.
Since your lunch was $4.00 more, your lunch would be (x + $4.00).
Adding your friend's lunch cost to your lunch cost should equate to the total bill, which is $28.00.
So, the equation becomes: x + (x + $4.00) = $28.00.
Combining like terms, we have: 2x + $4.00 = $28.00.
To isolate the variable, subtract $4.00 from both sides: 2x = $28.00 - $4.00.
Simplifying the right side of the equation gives: 2x = $24.00.
Finally, we can solve for x by dividing both sides by 2: x = $24.00 / 2.
Therefore, the cost of your friend's lunch (x) is $12.00.