Write the system of equation based on the problem
"A total of 345 tickets that consists of adult tickets and students ticket were sold" could be written as:
∴ a + s = 345 <em>(first equation)</em>
"<span>the number of student tickets sold was two times the number of adult tickets sold" could be written as:
</span>∴ s = 2a <em>(second equation)</em>
<span>
Solve the system of equation
Substitute 2a as s in the first equation
a + s = 345
a + (2a) = 345
3a = 345
a = 345/3
a = 115
There are 115 adult tickets sold.</span>
If the raffle has 200 tickets total, then about 50 tickets will be in the dining out raffle.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
From the diagram:
Percentage of dinner out = 65% - 40% = 25%
For 200 total tickets:
Number of dinning out raffle = 25% of 200 = 0.25 * 200 = 50 ticket
If the raffle has 200 tickets total, then about 50 tickets will be in the dining out raffle.
Find out more on equation at: brainly.com/question/2972832
12^n
------- = 12^4
12^5
Let's clear out the fraction. To do this, mult. both sides by 12^5:
12^n = (12^4)(12^5) = 12^9 Then n = 9 (answer)
Given:
Let x be the number of tickets sold
Let y be the price of tickets sold
(0,0)(1,20)(2,40)(3,60)(4,80)
These points show that 1 ticket costs 20.
y = 20x
y = 20(0) = 0
y = 20(1) = 20
y = 20(2) = 40
y = 20(3) = 60
y = 20(4) = 80
The price of tickets sold is in direct variation to the number of tickets sold. This means that the increase in the number of tickets sold will correspond to an increase in the price of tickets sold at a constant rate of variation.
Answer:
B
Step-by-step explanation: