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
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Are the answers the first line is for the first question same for the second and 3rd
Statement: Your question is well elaborate and has all needed data.
280 x (1-0.73)
=280 x 0.37
= £103.60
£280 decreased by 73% is <span>£280 multiplied by 37%.
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Answer:
250 students
Step-by-step explanation:
Given data
Let the total number of students be x
Number of students that plays instrument = 10
Hence
40% of x = 10
40/100*x= 100
0.4x=100
x=100/0.4
x= 250
Hence there are 250 students in total
