Question

12x = 19 + 18x

F.
Krystal installs 12 tiles per hour. Jondo installs 19 tiles per hour and started with 18 tiles already installed. How many hours, x, would it take for Krystal and Jondo to install the same number of tiles?


G.
Krystal can make $18 per hour by tutoring. Jondo can make $12 per hour by tutoring. Jondo already has $19. How many hours, x, would Krystal and Jondo need to tutor for them to have the same amount of money?


H.
Krystal paid a deposit of $19 plus $18 per hour to rent a dining room at a restaurant. Jondo paid $12 per hour to rent a dining room at a restaurant. How many hours, x, would it take for Krystal and Jondo to pay the same amount of money?


J.
Krystal reads 12 pages per hour. Jondo reads 18 pages per hour. How many hours, x, would it take for Krystal and Jondo to read the same number of pages?

Answer 1

The problem represented by the equation 12x = 19 + 18x is the one in option H.

Which problem represents the equation?

Here we have the linear equation:

12x = 19 + 18x

So, the slope in the left side is 12, and the initial value is zero, the slope in the right side is 18, and the initial value is 19.

From that we can see that the correct option is H;

Krystal paid a deposit of $19 plus $18 per hour to rent a dining room at a restaurant. Jondo paid $12 per hour to rent a dining room at a restaurant. How many hours, x, would it take for Krystal and Jondo to pay the same amount of money?"

For kristal we have an initial value of 19, plus 18 per hour, so her equation is:

19 + 18x

For jondo we only have $12 per hour, so his equation is 12x.

The will have the same amount of money when:

12x = 19 + 18x