The answer to this question is actually just simple arithmetic. At the end of the first round, Katie and Jenny will have 100 points each. In the second round, Katie and Jenny will have 200 points and 300 points respectively. At the third round, Katie and Jenny will both have 400 points. At the fourth round, Katie and Jenny will have 800 and 600 points respectively. So the turn at which Katie will have more points than Jenny is the fourth round since Katie has 800 and Jenny has 600.
Complete question :
There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is 106. Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following clue :
Let manager's age = m
Kirk's age = k
Brian's age = b
Matt's age = a
Sum of their ages = 106
k = 2(m - 10) = 2m - 20
b = 2m - 12
a = 0.5m + 6
k + b + a + m = 106
Express all their ages in terms of m
2m - 20 + 2m - 12 + 0.5m + 6 + m = 106
5.5m - 20 - 12 + 6 = 106
5.5m - 26 = 106
5.5m = 106 + 26
5.5m = 132
m = 132 / 5.5
m = 24
Manager's age = 24 years
kirk = 2(24 - 10) = 2(14) = 28 years
Brian = 2(24) - 12 = 48 - 12 = 36 years
Matt = 0.5(24) + 6 = 12 + 6 = 18 years
X, y - the numbers
The sum of the two numbers is 50.
![x+y=50 \\ x=50-y](https://tex.z-dn.net/?f=x%2By%3D50%20%5C%5C%0Ax%3D50-y)
The first number is 43 less than twice the second number.
![x=2y-43 \\ \\ 50-y=2y-43 \\ -y-2y=-43-50 \\ -3y=-93 \\ y=31 \\ \\ x=50-y=50-31=19](https://tex.z-dn.net/?f=x%3D2y-43%20%5C%5C%20%5C%5C%0A50-y%3D2y-43%20%5C%5C%0A-y-2y%3D-43-50%20%5C%5C%0A-3y%3D-93%20%5C%5C%0Ay%3D31%20%5C%5C%20%5C%5C%0Ax%3D50-y%3D50-31%3D19)
The numbers are 19 and 31.
Answer:
The answer is 480
Step-by-step explanation:
Answer:
Are paid to the goverment
Step-by-step explanation:
Goverment takes more