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.
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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:
David's score= 160 ; Aaron's score = 55
Step-by-step explanation:
let Aaron's score be 'x'.
so, David's score will be 3x - 5
(3x - 5) + x = 215
3x + x - 5 = 215
4x = 215 + 5
4x = 220
x = 220/4
x = 55
therefore, Aaron's score = 55
David's score is (3x - 5) = (3*55) - 5 = 165 - 5 = 160
Answer: what do need help on
Step-by-step explanation:
Answer: 18.75 for each girl
Step-by-step explanation:
First you take the unit rate 2.50 multiply by 5.
2.50 x 5 = 12.50
12.50 x 3 = 37.50
37.50 / 2 = 18.75
