Answer:
Each pitcher has the same fraction of the other drink.
Step-by-step explanation:
After 1 cup of tea is added to x cups of lemonade, the mix has the ratio 1:x of tea to lemonade. So, the fraction of mix that is tea is 1/(x+1).
The 1 cup of mix contains 1/(x+1) cups of tea and so x/(x+1) cups of lemonade. When that amount of lemonade is added to the tea, it brings the proportion of lemonade in the tea to (x/(x+1))/x = 1/(x+1), the same proportion as that of tea in the lemonade.
_____
You can consider the degenerate case of one cup of drink in each pitcher. Then when the 1 cup of tea is removed from its pitcher and added to the lemonade, you have a 50-50 mix of tea and lemonade. Removing 1 cup of that mix and putting it back in the tea pitcher makes there be a 50-50 mix in both pitchers.
Increasing the quantity in each pitcher does nothing to change the fact that the mixes end up in the same ratio:
tea:lemonade in Pitcher 1 = lemonade:tea in Pitcher 2
Answer:
-83
Step-by-step explanation:
so plug in 10 in 8x. So it is 10*-8 -3.
-80-3=-83
Answer:
A = 900in²
Perimeter 120in
Using the formulas
A = a²
P = 4a
Step-by-step explanation:
Solving for A:
A = 1/16 P² = 1/16 · 120² = 900in²
Answer:
8 pieces of candy
Step-by-step explanation:
Take the original amount of candy in the bowl to be 
.
It says that 20 pieces of candy were added, therefore there are 
pieces of candy in the bowl.
Half of the candy is gone, therefore 
pieces of candy are left in the bowl.
After half of the candy is gone, there are 14 pieces left, so we can say that 
Solve for :
