Joshua is making spaghetti and meatballs for dinner for his friends. Joshua makes 30 meatballs. If Joshua wants 5 meatballs on each plate of spaghetti, how many plates can Joshua make? Write an equation to represent the scenario, and solve.

Step-by-step explanation:

Given

Let y represent the number of meatballs in total and x represents the number of plates.

per plate

Required

Determine the value of x

To solve for x, we make use of the following expression.

Substitute values for y and Rate

Divide through by 5

Hence, number of plates is 6

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