The forester has 4 gallons of a mixture that is 26 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 45 parts gasoline and 1 part oil?

Answer 1

4 gallons of 26 parts gas and 1 part oil

add 2.8 gallons gasoline to make it 45 parts gas and 1 part oil

4 gallons of 26/27 gas + x gas = (4+x)(45/46)

104/27 + x= 180/46 + 45x/46

x/46 = 180/46 - 104/27

x = 180 - 46(104)/27 = 180 - 4784/27 = about 2.815