SOLUTION: A concert was attended by x adults and y children. Each of the y children paid $3 which was 3/4of what each of the adults paid. Given that the total sum collected for the total sum
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Question 1174982: A concert was attended by x adults and y children. Each of the y children paid $3 which was 3/4of what each of the adults paid. Given that the total sum collected for the total sum for admission was $1200.
1. Calculate the amount each adult paid?
2. find an equation connecting X and Y?
Given further that the number of children attending the concert was 1/3 of the total number of adults. Find the total number of people who attended the concert.
Found 3 solutions by ankor@dixie-net.com, josgarithmetic, ikleyn:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A concert was attended by x adults and y children.
Each of the y children paid $3 which was 3/4 of what each of the adults paid.
Given that the total sum collected for the total sum for admission was $1200.
let a = no. of adults, let c = no. of children
1. Calculate the amount each adult paid?
a = 3
3a = 4(3)
3a = 12
a = 12/3
a = $4 is adult amt
:
2. find an equation connecting X and Y?
4a + 3c = 1200, the total amt for tickets
Given further that the number of children attending the concert was 1/3 of the total number of adults.
c = a
Find the total number of people who attended the concert.
Replace c with a in the equation: 4a + 3c = 1200
4a + 3a = 1200
Cancel the 3
4a + 1a = 1200
5a = 1200
a = 1200/5
a = 240 adults
then
*240 = 80 children
therefore
240 + 80 = 320 people at the concert
:
:
Confirm this, find the total amt spent for tickets
4(240) + 3(80) =
960 + 240 = 1200
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
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x adults and y children. Each of the y children paid $3 which was 3/4of what each of the adults paid. Given that the total sum collected for the total sum for admission was $1200.
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3 dollars, each child
4 dollars, each adult
y children
x adults
.
.
Answer by ikleyn(52896) (Show Source): You can put this solution on YOUR website!
.
The condition is written as pathetically as an opera.
But still as far from a standard Math formulation, as an opera.
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