The price of gas in Bakersville is $2.10 per gallon and is increasing $0.20
per week. The price of gas in Springfield is $2.60 and is increasing $0.10 per
week. At this rate, how many weeks will it be until gas costs the same
amount per gallon in both cities?

5 weeks

Step-by-step explanation:

We are given the following information;

(increment per week is $0.20)

(Increment per week as $0.10 )

We are required to determine the number of weeks it will take for the prices to be the same in the two cities.

Assuming it will take n weeks for the prices to be the same, then

New price in Bakersville = $2.10 + $0.20n

New price in Spring field = $2.60 + $0.10n

Thus;

$2.10 + $0.20n = $2.60 + $0.10n

combining the like terms

0.10 n = 0.50

n = 5

   = 5 weeks

Therefore, it will take 5 weeks for the prices to be the same both cities

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get