Algebra Homework Help Please!!?

Question

42 people went to a park. admission fee is $16 for adult and $12 children. The group spend $568 to get in. How many adults and how many children were in the group?

Answer 1

These questions are not very difficult; here is one way of solving it:

We were told a total of 42 people, so:

Let x = number of children; thus, (42 - x) = number of adults;

So the total value of child's tickets would be 12 x number of children; total value of adult tickets would be 16 x number of adults.

We know the total spent was 568$ so we can make the equation:

12x + 16(42-x) = 568

12x + 672 - 16x = 568 (combining like terms)

-4x + 672 = 568 (Add 4 x to each side)

672 = 568 + 4x

104 = 4x

x = 26 so, 26 children and (42-26) or16 adults.

Check your answer (26 x 12) + (16 x 16) = 568

Answer 2

let x = the number of adults
let 42-x = the number of children

16x + 12(42-x) = 568

16x + 504 - 12x = 568

504 + 4x = 568

4x = 64

x = 16

therefore there was 16 adults and 26 children.

Answer 3

-4c - 3c = 22 - 36 -7c = -14 c = 2 4g/14 - g/14 = 3/14 + 3/7 3g/14 = 3/14 + 6/14 = 9/14 3g = 9 g = 3 3r/4 = 5/6 - 2/3 3r/4 = 5/6 - 4/6 3r/4 = a million/6 9r/12 = 2/12 9r = 2 r = 2/9 6x = 25 + 86 = 111 x = 111/6 x = $18.50

Answer 4

x=amt paid by adults
y=amt paid by children
x+y=42
x(16) + y(12)=568

x=42-y

(42-y)(16)+12y=568
672-16y+12y=568 subtract 672 from both sides and combine terms
-4y=-104
y=26
x=42-26
x=16
answer: 16 adults and 26 children

Answer 5

make it into an equation, make adults x and children why and make it equal to 568 and then do x+y= 42 and then graph it. so make 2 equations and plug them into ur ti-83 graph.

Answer 6

Try a guess and check problem-- the children will probably have more than the adults

Answer 7

x = # of adults
z = # of kids
y = total spent
x + z = 42............ 42 - x = z

y = 16x + 12z
568 = 16x + 12z
142 = 4x + 3z ..................... (you don't really have to do this step i just did it to make it look simpler)
142 = 4x + 3(42 - x)
142 = 4x + 126 - 3x
142 = x + 126
16 = x...............There were 16 adults and

42-x = z
42-16 = z
26 = z................There were 26 kids

Answer 8

im in algebra myself and i dont know..........is it due tommorrow? my algebra teacher could answer that but maybe u dont have that time, sorry for wasting ur time:(

Answer 9

wow
go to this site and the same problem
http://taselm.fullerton.edu/cluster%20page/santiago%20cluster/santiago%20docs/santiagodocs0405/Clackimus%20HS/systems_equations.doc

Answer 10

The answer is