Mr. Frankel bought 7 tickets to a puppet show and spent $43. He bought a combination of child tickets for $4 each and adult tickets for $9 each. Which system of
Question
2 Answer

1. User Answers Zane16
3 adult tickets and 4 kids tickets 
2. User Answers lhabdulsamirahmed
Mr. Frankel bought 4 child tickets and 3 adult tickets
Data;
 Total number of ticket = 7
 Total amount spent =$43
 cost of child ticket = $4
 cost of adult ticket = $9
To solve this problem, we would write a system of equation representing the word problem.
System of Equation
These are two or more mathematical statements, written to explain a word problem better.
Let x represent the number of child ticket
let y represent the number of adult ticket
[tex]x+y = 7...equation(i)\\4x+9y=43 ...equation(ii)[/tex]
From equation(i), let's make x the subject of formula
[tex]x+y=7\\x=7y...equation(iii)[/tex]
Put equation(iii) into equation(ii)
[tex]4x+9y=43\\x=7y\\4(7y)+9y=43\\284y+9y=43\\collect like terms\\5y=4328\\5y=15\\y=3[/tex]
Put y = 3 into equation (i)
[tex]x + y = 7\\y = 3\\x+3=7\\x = 4[/tex]
From the calculations above, Mr. Frankel bought 4 child tickets and 3 adult tickets.
Learn more on system of equations here;
https://brainly.com/question/13476446