The total cost of 15 gallons of regular unleaded gasoline and 10 gallons of premium unleaded gasoline is $35.50 ... Premium unleaded cost $0.20 more per gallon then regular unleaded. What is the cost per gallon of each type.?

Cost per Gallon

regular unleaded gasoline: $1.34

Premium unleaded gasoline: 1.54

Step-by-step explanation:

let the price of

regular unleaded gasoline = x

regular unleaded gasoline = x+0.2

According to given condition

15x + 10 (x+0.2) = 35.5

15x + 10x + 2 = 35.5

25x = 35.5 - 2

25x = 33.5

x = 33.5/25

x = 1.34

So

regular unleaded gasoline = x = 1.34

regular unleaded gasoline = x+0.2 = 1.34+0.2 = 1.54

Check

15x + 10 (x+0.2) = 35.5

15*1.34 + 10*1.54 = 35.5

20.1+15.4 = 35.5

35.5 = 35.5