Answer:
72
Step-by-step explanation:
Let the number of candies = n
Tracy ate = 1/3 of n = n/3 remaining 2n / 3
she gave 1/4 of the remainder to her friend = 1/4 of ( n - n/3) = 2n / 12
the new remainder = (2n / 3) - (2n / 12) = n /2
she and her mom then ate altogether = 30
and the brother took from 1 to five, the number he took = x
and she has 3 left
( n/2) - 30 - x = 3
n = 2 ( 33 + x)
now we know that the candies could not be broken and x is between 1 to 5
n = 2 (33 + 1), 2 (33+2), 2(33 +3), 2 (33+ 4) and 2 (33 + 5) this are the possible values of n, ( 68, 70, 72, 74, 76) and the multiple of 3 is 72
n therefore = 72
Answer: 3 to 2
Step-by-step explanation:
You simplify the ratio :)
x= 1.68596491
So just round that number and you have your answer.
An equation to solve for the time when the high school will have exactly 100 students is (1-.06)^x = (250/100).
That simplifies to 94^x = .4.
We can then take the log of both sides to isolate the x variable from the exponent. Here's with natural log.
x*ln(.94)=ln(.4)
x = ln(.4)/ln(.94)
Solving this gives x ~= 14.80. So in about 15 years, the high school will have 100 students.
