A teacher likes to bake cookies and she regularly brings some to school to share with both students and teachers. One day, the teacher brought 72 cookies and distributed 32 to the students and the remaining number to the teachers. Given the scenario above, determine the ratio of teacher cookies to student cookies. Write your ratio with integers in reduced form.​

students 4:9

teachers 5:9

Step-by-step explanation:

students 32:72 = 4:9

teachers 40:72 = 5:9

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

a

step-by-step explanation: