Answer:
75% bigger
Step-by-step explanation:
Let the first number be x and the second be y.
So:
![Average = \frac{x + y}{2}](https://tex.z-dn.net/?f=Average%20%3D%20%5Cfrac%7Bx%20%2B%20y%7D%7B2%7D)
And:
-----30% less than x
Substitute
in ![Average = \frac{x + y}{2}](https://tex.z-dn.net/?f=Average%20%3D%20%5Cfrac%7Bx%20%2B%20y%7D%7B2%7D)
![\frac{x + y}{2} = (1 - 30\%) * x](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%20y%7D%7B2%7D%20%3D%20%281%20-%2030%5C%25%29%20%2A%20x)
![\frac{x + y}{2} = (1 - 0.30) * x](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%20y%7D%7B2%7D%20%3D%20%281%20-%200.30%29%20%2A%20x)
![\frac{x + y}{2} = 0.70 * x](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%20y%7D%7B2%7D%20%3D%200.70%20%2A%20x)
![\frac{x + y}{2} = 0.70x](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%20y%7D%7B2%7D%20%3D%200.70x)
Cross multiply
![x + y = 0.70x * 2](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%200.70x%20%2A%202)
![x + y = 1.40x](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%201.40x)
Collect like terms
![1.40x - x = y](https://tex.z-dn.net/?f=1.40x%20-%20x%20%3D%20y)
![0.40x = y](https://tex.z-dn.net/?f=0.40x%20%3D%20y)
Make x the subject
![x = \frac{y}{0.40}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7By%7D%7B0.40%7D)
![x = 2.50y](https://tex.z-dn.net/?f=x%20%3D%202.50y)
So, the average is:
![Average = (1 - 30\%) * x](https://tex.z-dn.net/?f=Average%20%3D%20%281%20-%2030%5C%25%29%20%2A%20x)
![Average = (1 - 30\%) * 2.50y](https://tex.z-dn.net/?f=Average%20%3D%20%281%20-%2030%5C%25%29%20%2A%202.50y)
![Average =0.70 * 2.50y](https://tex.z-dn.net/?f=Average%20%3D0.70%20%2A%202.50y)
![Average =1.75y](https://tex.z-dn.net/?f=Average%20%3D1.75y)
Rewrite as:
![Average =(1 + 0.75)y](https://tex.z-dn.net/?f=Average%20%3D%281%20%2B%200.75%29y)
Express as percentage
![Average =(1 + 75\%)y](https://tex.z-dn.net/?f=Average%20%3D%281%20%2B%2075%5C%25%29y)
This means that the average is 75% bigger than the second number
Answer: 300
Step-by-step explanation: 300+200=500
then 500-200=300
15% = 0.15
tip = 15 * 0.15 = 2.25
5% = 0.05
tax = 15 * 0.15 = 0.75
total = 15 + 0.75 + 2.25 = $18
Answer: 0.6666666667
Step-by-step explanation: Simplifying
9t + -3t = 4
Combine like terms: 9t + -3t = 6t
6t = 4
Solving
6t = 4
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Divide each side by '6'.
t = 0.6666666667
Simplifying
t = 0.6666666667