A company takes care of cats and dogs overnight when their owners are out of town. The company charges $18 per cat per night and $30 per dog per night. On Saturday night, the company took care of a total 16 cats and dogs. The system of equations shows the total amount the company charged on Saturday night for the number of cats, x, and the number of dogs, y that were taken care of. How many cats did the company take care of on Saturday night?

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

answer is  

a.

p = 78

step-by-step explanation:

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step-by-step explanation:

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