We are given a problem that can be solved using a system of linear equations. Let A, be the number of adults, and S the number of students. Since there are in total 142 people and there were two days, this means that the sum of the number of adults and the number of students must be 284, which can be written mathematically as follows:
This is our first equation. The second equation is found using the total sales of $1948. Since the ticket per adult is $8 and per student is $5, we have the following equations:
To solve this equation we will solve for A in equation (1), by subtracting S to both sides;
Now we will replace this value in equation (2):
Now we will apply the distributive property:
Addins like terms:
Subtracting 2272 to both sides;
Dividing both sides by -3:
Now we replace this value in equation (1), where we have already solved for A:
Therefore, there were sold 108 student tickets and 140 adult tickets.
Answer:
267 / 1.50 = 178
they had 178 orders on sunday
Step-by-step explanation:
Answer:
Option 3
Step-by-step explanation:
All equations are in slope-intercept form. 
The 'm' is the slope.
The 'b' is the y-intercept.
The slope is also known as the rate of change. So, we would have to look at what replaces 'm' and select two equations that have the same rate of change.
<em>Let's look over the equations:</em>
<h3>Equation A:</h3>
In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.
<h3>Equation B:</h3>
In this equation, 3 replaces 'm', so the rate of change for this equation is 3.
<h3>Equation C:</h3><h3>
</h3>
In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.
<h3>Equation D:</h3><h3>
</h3>
In this equation, 0.03 replaces 'm', so the rate of change for this equation is 0.03.
Equation C and equation A have 0.3 as the slope. Since the question asks for two equations that have the same rate of change, the answer would be Equations A and C, or Option 3.
The amount of quarts of water to fill the jar is 10.6875 quarts
To solve this problem effectively, we need to understand the concept of word problems.
<h3>What are word problems in mathematics?</h3>
Word problems in mathematics are questions that require a crucial understanding and application of mathematical principles to solve them effectively.
From the parameters given:
- If 114 ounces of water is poured three times to fill the jar
Then, the total amount of ounces that fills the water is:
= 114 ounces × 3
= 342 ounces
From the dimensional analysis of measurements:
1 ounce = 0.03125 quarts
Thus, in quarts, 342 ounces will be:
= 10.6875 quarts
Learn more about word problems in mathematics here:
brainly.com/question/21405634
Bring the 3 to the other side, which makes 11-3 = 8
divide the whole equation by 2, which makes it Root (3x/5) = 8/2
square the whole equation which gives
, 3x/5 = 16
Multiply the equation by 5 which makes it, 3x = 80
finally divide the equation to find x, x= 80/3
