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anonymous
 one year ago
pls help me with this its the last 2 days to turn in work and i dont know how
Admission to the Pie Eating Contest is $1.50 for children and $4 for adults. On a certain day, 2200 people came to watch and $5050 is collected. How many children and adults attended the Contest?
Show ALL work.
Let x = number of children
Let y = number of adults
A. Write 2 equations to model this system:
B. Solve the first equation for x (get the x alone on 1 side): 5 points
C. Use Substitution to solve the equations and determine how many adults and how many children attended
anonymous
 one year ago
pls help me with this its the last 2 days to turn in work and i dont know how Admission to the Pie Eating Contest is $1.50 for children and $4 for adults. On a certain day, 2200 people came to watch and $5050 is collected. How many children and adults attended the Contest? Show ALL work. Let x = number of children Let y = number of adults A. Write 2 equations to model this system: B. Solve the first equation for x (get the x alone on 1 side): 5 points C. Use Substitution to solve the equations and determine how many adults and how many children attended

This Question is Closed

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0Number of people (P = 2200) is equal to number of children (x) plus number of adults (y) so: P = x + y = 2200 Amount collected (A = $5050) is equal to the number of children times $1.50 plus the number of adults times $4. What does that equation look like?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0uhh....idk do i multiply ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can u help with part b and c pls thank u

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0Try writing out an equation with x, y, $1.50, $4.00, and $5050. You can do it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0uh x(1.50) * y(4.00)=5050 i really dont know how to :( i cant do it

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0x(1.50) * y(4.00)=5050 is \(almost \) the same as: \(1.5x \color{red}{+} 4y=5050\) It is a plus because we add up the amounts received to get $5050.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0Can you find the second equation?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0oh, @Valpey already gave it to you as the first equation: x+y=2200 (meaning #children + #adults =2200 people)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0B. Solve the first equation for x (get the x alone on 1 side): This means that you need to isolate x from the first equation x+y = 2200

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x + y=2200 1.5 1.5=x ? .......

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0You may want to concentrate on part B, which says: B. Solve the \(first\) equation for x (get the x alone on 1 side): This means that you need to \(isolate\) x from the first equation x+y = 2200 x=?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0x+y=2200 subtract y from either side, what do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so substract 4from each side

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0yes, subtract \(\color{red}{y}\) from each side of the equality sign!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0um so x+y=2200 4 4 like that ?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0y does not equal 4! Both x and y represent the number of people (children and adults) question says: " Let x = number of children Let y = number of adults " so we don't know y yet. y is an unknown representing the number of adults that we are trying to find. You have to subtract y as an entity, example x+y = 2200 so whatever y stands for, the following equations are still valid x+yy=2200y x=2200y THis process is called isolating y because we have y only on the lefthand side.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so in part c i would b making an equation out of the numbers and the variable right ?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0\(Example\) of substitution: given x+y=10 .......(1) 2x+3y=25.....(2) First isolate x: x=10y.....(1A) Substitute means replace x (in the second equation) by the value of x in terms of y which we got from the first equation (1A) 2(10y) + 3y = 25 .......(2A) Now solve (2A) to get the value of y: 1. distribute 2*10  2y + 3y = 25 group like terms, and isolate y 3y2y +2020 = 2520 y =5 Now, backsubstitute value of y into the first equation (1) to solve for x: x+5 = 10 x = 10  5 x=5 You would proceed the same way to work on part C.
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