Samantha and her children went into a movie theater and will buy bags of popcorn and candies. Each bag of popcorn costs $6 and each candy costs $3.25. Samantha has a total of $50 to spend on bags of popcorn and candies. Write an inequality that would represent the possible values for the number of bags of popcorn purchased, bb, and the number of candies purchased, c. c.

Multiply the price of popcorn by the number of bags so 6b.

Multiply the price of candy by the number bought, so 3.25c

Add those together to get total :

6b + 3.25c

Now the most she can spend is 50 so set the equation to less than it equal to what she can spend:

6b + 3.25c <= 50

f

step-by-step explanation:

f

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1