Anna went on vacation and the round trip flight to New York cost her 1/4 of the amount she had to spend on the hotel.

Question

She spent $1750 in total, how much did she spend on the round trip?

 

I know that an equation needs to be formed, but I’m not 100% sure what is the correct way to put it together and to solve it.

Answer 1

The first statement, the flight to NY cost her 1/4 of the amount of the hotel, will be your first equation. So, let f represent her flight cost and h represent the hotel cost,

 

Equation 1: f= (1/4)h

 

The next statement gives you the total amount she spent for both the flight and hotel, which is $175o, that will give you the second equation.

 

Equation 2: 1750= f+h

 

We can now substitute equation 1 into equation 2.

 

1750= (1/4)h+h

1750=5/4h

1400= h

 

This gives us the cost of the hotel. To find the cost of the flight, substitute the value of h into equation 2:

 

1750= f +1400

350=f