Type the correct answer in each box. Use numerals instead of words. In Joey's neighborhood, the ratio of families with dogs to families with cats is 5 to 2. There are 15 more families with dogs than families with cats.

In Joey's neighborhood
families have cats
and families have dogs.

9514 1404 393

Step-by-step explanation:

The difference of ratio units is 5-2 = 3. The difference in pet counts is 15, so we can see that each ratio unit stands for 15/3 = 5 pets. Then ...

  dogs : cats = 5 : 2 = (5·5) : (2·5) = 25 : 10

There are 10 families with cats and 25 families with dogs.

You could write the equations:

  d/c = 5/2

  d - c = 15

Solving the first for d, you get ...

  d = (5/2)c

Substituting that into the second gives ...

  (5/2)c -c = 15

  3/2c = 15

  c = (2/3)(15) = 10 . . . . . cat families

  d = (5/2)c = 5/2·10 = 25 . . . . dog families

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18