Application problem

[NoGoodAtMath]

Adele's 2012 Mini-Cooper gets 37 miles per gallon on the highway and 29 miles per gallon in the city. The amount of gas she uses A(in gallons) is given by A=1/29c+1/37h where c is the number of city miles driven and h is the number of highway miles driven. If Adele drove 58 miles in the city and used 5 gallons of gas, how many highway miles did she drive?

I'm posting this to check to see if the answer is correct. This is how I did it. 5=1/29(58)+1/37h
5=2+1/37h. Then I subtracted 2 from both sides and that gave me 3/ 1/37= 1/37h. I then divided by 1/37 and it gave me h=111 highway miles. Is this correct?

 

[Deleted member 4993]

Adele's 2012 Mini-Cooper gets 37 miles per gallon on the highway and 29 miles per gallon in the city. The amount of gas she uses A(in gallons) is given by A=1/29c+1/37h where c is the number of city miles driven and h is the number of highway miles driven. If Adele drove 58 miles in the city and used 5 gallons of gas, how many highway miles did she drive?

I'm posting this to check to see if the answer is correct. This is how I did it. 5=1/29(58)+1/37h
5=2+1/37h. Then I subtracted 2 from both sides and that gave me 3/ 1/37= 1/37h. I then divided by 1/37 and it gave me h=111 highway miles. Is this correct?

Correct

 

[HallsofIvy]

Adele's 2012 Mini-Cooper gets 37 miles per gallon on the highway and 29 miles per gallon in the city. The amount of gas she uses A(in gallons) is given by A=1/29c+1/37h where c is the number of city miles driven and h is the number of highway miles driven. If Adele drove 58 miles in the city and used 5 gallons of gas, how many highway miles did she drive?

I'm posting this to check to see if the answer is correct. This is how I did it. 5=1/29(58)+1/37h
5=2+1/37h. Then I subtracted 2 from both sides and that gave me 3/ 1/37= 1/37h. I then divided by 1/37 and it gave me h=111 highway miles. Is this correct?

Driving 58 miles in the city would take 58/29= 2 gallons of gas, leaving 3 gallons for highway driving. Since city driving requires 1/37 gallon (which is the same as 37 miles per gallons) that would give 3(37)= 111 miles. Yes, that is basically the calculation you did and you got the correct answer.

 

[NoGoodAtMath]

Driving 58 miles in the city would take 58/29= 2 gallons of gas, leaving 3 gallons for highway driving. Since city driving requires 1/37 gallon (which is the same as 37 miles per gallons) that would give 3(37)= 111 miles. Yes, that is basically the calculation you did and you got the correct answer.

Thank you. I don't do well is applications.