 Mathematics
12 January, 20:47

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

0
1. 12 January, 22:01
0
5 weeks

Step-by-step explanation:

We are given the following information;

Price of gas in Bakersville as \$2.10 per gallon

(increment per week is \$0.20)

Price of gas in Springfield as \$2.60 per gallon

(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