SOLUTION: There 429 people at a play. Admission was $8 each for adults and $4.50 each for children. The total receipts were $2641. How many adults and how many children attended?
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Question 731247: There 429 people at a play. Admission was $8 each for adults and $4.50 each for children. The total receipts were $2641. How many adults and how many children attended?
You can put this solution on YOUR website! There 429 people at a play.
Admission was $8 each for adults and $4.50 each for children.
The total receipts were $2641.
How many adults and how many children attended
:
Let a = no. of adults
let c = no. of children
:
Write an equation for each statement
:
"There 429 people at a play."
a + c = 429
c = (429-a); use this form for substitution
:
" The total receipts were $2641."
8a + 4.50c = 2641
replace c with (429-a)
8a + 4.5(429-a) = 2641
8a + 1930.5 - 4.5a
8a - 4.5 a = 2641 - 1930.5
3.5a = 710.5
a = 710.5/3.5
a = 203 adults
:
I'll let you find the number of children, check the solutions in the
total$ equation
