Question:
The admission fee at a carnival is $3.00 for children and $5.00 for adults. On the first day 1,500 people enter the fair and $5740 is collected. How many children and how many adults attended the carnival?
Answer:
Number of children and adults attended the carnival are 880 and 620 respectively
Step-by-step explanation:
Given:
The admission fee at a carnival for children = $3.00
The admission fee at a carnival for adults = $5.00
Number of people entered the fare on first day= 1500
Total amount collected on the first day = $5740
To Find:
Number of children and adults attended the carnival =?
Solution:
Let
The number of children be x
The number of adults be y
The we know that on the first day the total number children visited the fare was 1500
x + y = 1500
x = 1500 - y------------------------------(1)
Also the total fare collected was $5740
x(3) + y(5) = 5740
3x + 5y = 5740-------------------(2)
Substituting (1) in (2),
3 (1500 - y) + 5y = 5740
4500 -3y + 5y = 5740
-3y + 5y = 5740 - 4500
2y = 1240
y = 620 adults
From 1 ,
x = 1500 - 620
x =880
Answer:
I am so sorry bro but the question literally makes no sense. If the people are selling 320 per night bc the price is $9.00, and rise it up to 0.15, one that would not help lower the selling per night and also there is no other way by solving to problem... :(
Step-by-step explanation:
788/4 because there are 4 different color shirts and you end up with 197 so there are 197 students getting red shirts
Answer:½((n/2) – ½) – ½ = 10
½(n/2) – ¼ - ½ = 10 (using the distributive property)
¼n – ¼ - ½ = 10 (multiplying to eliminate the parentheses)
¼n – ¾ = 10 (combining like terms)
¼n = 10¾ (adding ¾ to both sides of the equation)
n = 43 (dividing both sides of the equation by ¼)
Step-by-step explanation:
Let’s start by writing Josie’s first step as an expression. Dividing n by 2, then subtracting ½ from
the result would be (n/2) – ½. If we build on this expression with the information in Josie’s
second step, we get ½((n/2) – ½) – ½. Knowing the final result is 10, we can set up the equation
below, and solve for n as follows: hope this helps
Answer:
x = 3 , y = 13
Step-by-step explanation:
Note that both equations is equal to y. Set the two equations equal to each other
y = 7x - 8; y = 5x - 2
7x - 8 = y = 5x - 2
7x - 8 = 5x - 2
Isolate the x. Subtract 5x and add 8 to both sides
7x (-5x) - 8 (+8) = 5x (-5x) - 2 (+8)
7x - 5x = -2 + 8
Simplify.
(7x - 5x) = (-2 + 8)
2x = 6
Isolate the x. Divide 2 from both sides
(2x)/2 = (6)/2
x = 6/2
x = 3
---------------------------------------------------------------------------------------------------
Plug in 3 for x in one of the equations.
y = 7x - 8
y = 7(3) - 8
Simplify. Remember to follow PEMDAS.
y = 7(3) - 8
y = 21 - 8
y = 13
---------------------------------------------------------------------------------------------------
x = 3, y = 13 is your answer
~
