Mr. Frankel bought 4 child tickets and 3 adult tickets
Data;
To solve this problem, we would write a system of equation representing the word problem.
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=7-y...equation(iii)[/tex]
Put equation(iii) into equation(ii)
[tex]4x+9y=43\\x=7-y\\4(7-y)+9y=43\\28-4y+9y=43\\collect like terms\\5y=43-28\\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
