2000 tickets were sold in an exhibition on Saturday. The cost of a ticket for an adult is $4 and for a child is $2. The total amount collected on Saturday was $6400. Find the number of adult tickets and child tickets sold on Saturday
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Answer:
Let x = # of adult tickets sold (at $4.00 each)
Let y = # of child tickets sold (at $2.00 each)
We can take the above information, along with the 2000 tickets sold and the $6,400 collected, to get the following two math statements:
x + y = 2000 (Total unknown number of $4.00 + total unknown number of $2.00 tickets, equals a total of 2,000 tickets sold
4x + 2y = 6400 ($4.00 * unknown number of $4.00 tickets + $2.00 * unknown number of $2.00 tickets, equals the total of $6,400 collected in ticket sales
So, write these as:
x + y = 2000
4x + 2y = 6400
Take the first equation: Turn it into a y= statement, by subtracting 'x' from both sides, to get:
y = 2000 - x
Next, go to the 2nd equation. Where you see the 'y', substitute the y-value in its place: '2000 - x'
This gives you:
4x + 2 (2000 - x) = 6400
This then gives us: 4x + 4000 -2x = 6400
Collect like terms to get:
2x + 4000 = 6400
Subtract 4000 from both sides to get:
2x = 2400
Next, divide both sides by 2, to get x = 1200
We now know that there were 1,200 adult ($4.00) tickets sold; put this information back into the original equation:
1200 + y = 2000
Next, subtract 1200 from both sides, so that we can solve for y; which is:
y = 800
Next, check our work, by substituting back into the two original equations:
1200 + 800 = 2000 [Check]
4 * 1200 + 2 * 800 = 4800 + 1600 + 6400 [Check]
So: 1,200 tickets sold at $4.00 each; and 800 tickets sold at $2.00 each, final and correct answer.
1.) First find out how many ADULT tickets were sold. Divide total tickets with price of one ticket. 2000/4= 500 adult tickets were sold.
2.) Now find out CHILD ticket. Same thing as first. 2000/2= 1000 child tickets were sold.
>>>>So, on Saturday, 500 adult tickets were sold, and 1000 child tickets were sold. Hope that helps! :)
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250% of 2 What is the answer?
Answers
Answers
Answer:
Height = 3 inches and Base length = 7 inches
Step-by-step explanation:
1. Information provided to answer the question correctly:
Base of the triangle = x+ 4
Height of the triangle = x
Area of the triangle = 10.5 inches²
2. Find the base length and height
Let's recall the formula of the area of a triangle:
Area = (Base * Height)/2
Replacing with the values we know:
10.5 = x (x + 4)/2
21 = x²+ 4x
x²+ 4x - 21 = 0
(x + 7) (x - 3) = 0
(x₁ + 7) = 0 ⇒ x₁ = -7
(x₂ - 3) = 0 ⇒ x₂ = 3
We take x₂ as the answer because x₁ = -7 is not a valid height.
Height = 3 inches and Base length = 7 inches
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Malika has $282 in her saving account after the gift obtained from her grandparents.
What is an arithmetic operation?
The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the data given in the question,
7.2 × 4= $28.8
$28.8 - 10=18.8
which means that she saves $18.8 per week.
18.8 × 12 = 225.6
She has collected 225.6 dollars over 12 weeks.
225.6 × 0.25 = 56.4
she received $56.4 from her grandparents,
$56.4 + $225.6 = $282
she has $282.
To know more about arithmetic operations:
#SPJ2
she saves 18.8 dollars per week.
18.8 times 12=225.6
after 12 weeks she has saved 225.6 dollars
225.6 times 0.25=56.4
her grandparents giver her 56.4 dollars
56.4+225.6=282
she has 282 dollars
Answers
Answers
First, simplify your brackets. / Your problem should look like:
Second, change addition to subtraction. / Your problem should look like:
Third, add 9.5 to both sides. / Your problem should look like:
Fourth, simplify. / Your problem should look like:
Answer: m = 1.7
Answers
Matthew is 8 years older than his brother. Use b to represent how old Matthew's brother is.
This means that Matthew's brother is 8 years younger than Matthew.
We will let 'M' represent Matthew's age and 'B' represent Matthew's brother's age.
The equation to represent this situation would be:
B = M - 8
I hope I helped!
Let me know if you need anything else!
~ Zoe