Jackson and his children went into a movie theater where they sell bags of popcorn for $6.50 each and candies for four dollars each. Jackson has $75 to spend in my spinal less than 15 bags of popcorn and candy's all together. If Jackson decided to buy two candies, determine the maximum number of bags of popcorn that he could buy. IfJackson and his children went into a movie theater where they sell bags of popcorn for $6.50 each and candies for $4 each. Jackson has $75 to spend in my spinal less than 15 bags of popcorn and candy's all together. If Jackson decided to buy two candies, determine the maximum number of bags of popcorn that he could buy.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

f(x)=4

step-by-step explanation: