1. the answer is 24. think of x as the original amount, and y as the new amount. y times 1.5 is x, and y+12 is x. reverse that to figure out y, which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to subtract 12, which would help you get 24 as your final answer.
2. once again, create an equation. let's call team 1 x and team 2 y. team one has 1/4th as many as team 2, so that would be x=1/4y. An easier way to write that is 4x=y. after 6 people quit team two, that would be y-6. after the transfer, that would be y-6-12, and x+12 for the teams. they are equal after these, so y-6-12=x+12. solve this equation to get y-18= x+12. if you recall earlier, y was 4 times x, so substitute that into y to get 4x-18=x+12. Solve the equation to get 10 people on team one originally. your final answer is 10 people.
To the nearest percentage point, what percentage of students who play a sport don’t play a musical instrument?
First, using the information given, fill out the chart with the rest of the data (in the image attached)
Then find the number of students who play a sport and don’t play a musical instrument, which in the chart is 11
Place 11 over the total:
and convert to a percentage:
44%
Well i don’t know i just need me pints but sorry i’m so sorry
By iteratively substituting, we have



and the pattern continues down to the first term
,



Recall the formulas


It follows that


