Answer:
- 30 adult tickets,
- 50 kids tickets
Step-by-step explanation:
<u>Given</u>
- Cost of adult ticket = $8.50
- Cost of kids ticket = $7.00
- Number of tickets = 80
- Total cost = $605
Let the adult ticket be a and kids be k
<u>We got equations</u>
- a + k = 80
- 8.5a + 7k = 605
<u>From the first equation we get</u>
<u>Substituting k in the second equation</u>
- 8.5a + 7(80 - a) = 605
- 8.5a - 7a + 560= 605
- 1.5a = 45
- a = 45/1.5
- a = 30
<u>Then finding k</u>
Answer:

Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this constant is called the common difference
we have

Let



The common difference is 
We can write an Arithmetic Sequence as a rule

where
a_n is the nth term
d is the common difference
a_1 is the first term
n is the number of terms
Find the 63rd term of the arithmetic sequence
we have

substitute




Example: 2x + 6 < -8
There's 2 steps to solve this one.
2x + 6 < -8
Subtract 6 from both sides
2x < -14
Divide both sides by 2
x< -7
If alonzo is x then the equation is
x + (x +3) + 2(x + 3) = 57
Which equals
x + x + 3 + 2x + 6 = 57
4x + 9 = 57
4x = 48
x = 12
This means alonzo is 12 years old and alexis is 3 years older so alexis is 15 years old
Answer = 15 years old