Answer: the equation used is 8x +5 = 12x -11
There are 4 ounces of pineapple juice in each serving
Step-by-step explanation:
In order to make sense of this, imagine some initial amount of juice needed in in scenario. Let "y" represent that amount. "x" is the amount in each serving.
Starting with y, Julie makes 8 servings with 5 oz left over y = 8x +5
Then wanting to make 12 servings she needs that PLUS 11 oz. y + 11 = 12x
Rewrite the second equation in "slope-intercept" form (just because it works)
y + 11 = 12x (subtracting 11 from both sides) becomes y = 12x -11
since both equations are equal to y, we can substitute and get rid of y (yay!)
8x + 5 = 12x -11 Solve for x by subtracting 8x from both sides and adding 11 to both sides. 8x-8x +5 +11 = 12x - 8x -11+11. Cancel the 0 sums.
16 = 4x Divide both sides by 4
4 = x 4 oz of Pineapple juice in each serving.
