Let E be the electric bill and G be the gas bill
E = 3 + 1/2G
92 = 3 +1/2G
92-3=1/2G
(89=1/2G) x 2
89x2=G
178=G
So, the gas bill was $178.00
E = 3 + 1/2G
92 = 3 +1/2G
92-3=1/2G
(89=1/2G) x 2
89x2=G
178=G
So, the gas bill was $178.00
1. Paul's electric bill was three dollars more than one-half his gas bill.
2. The electric bill was ninety-two dollars.
To find the gas bill, we can set up an equation using the information given.
Let's say the gas bill is represented by the variable "G".
According to the first statement, Paul's electric bill was three dollars more than one-half his gas bill. So, we can write the equation:
Electric bill = (1/2) * Gas bill + 3
Substituting the given value for the electric bill (ninety-two dollars), we have:
92 = (1/2)G + 3
To solve for G, we need to isolate the variable on one side of the equation. We can do this by subtracting 3 from both sides of the equation:
92 - 3 = (1/2)G + 3 - 3
89 = (1/2)G
To eliminate the fraction, we can multiply both sides of the equation by 2:
2 * 89 = 2 * (1/2)G
178 = G
Therefore, the gas bill was one hundred seventy-eight dollars.
Step 1: Set up an equation based on the given information.
Let's represent the gas bill using the variable "x." According to the given information, Paul's electric bill was three dollars more than one-half his gas bill, which can be expressed as:
Electric bill = (1/2) * Gas bill + 3
Step 2: Substitute the given value into the equation.
We know that the electric bill was ninety-two dollars, so we can substitute this value into the equation:
92 = (1/2) * x + 3
Step 3: Solve the equation for x.
To solve the equation, we need to isolate x. First, subtract 3 from both sides of the equation:
92 - 3 = (1/2) * x
89 = (1/2) * x
Then, multiply both sides by 2 to get rid of the fraction:
89 * 2 = x
178 = x
Therefore, the gas bill was 178 dollars.