Question

Tickets for a football match are sold at $30 for EACH adult and $15 for EACH child. A company bought 28 tickets. If x of these tickets were for adults, write an expression in terms of x for:
a) the number of tickets for children
b) the amount spent on tickets for adults
c) the amount spent on tickets for children
ii) Show that the TOTAL amount spent on the 28 tickets is $(15x +420)
iii) The cost of the 28 tickets was $660, calculate the number of adult tickets bought by the company

Answer 1

go @ParthKohli and @Arnab09 :DDD

Answer 2

let's see who gives the better explanation >:))

Answer 3

there are total 28 tickets.
x are for adults, rest r for children
so, there are 28-x tickets for children
expense for children: multiply the number of children tickets with their cost, ie $15
so, expense for children: $15(28-x)
expense for adults= x*price for each adult ticket= $30x
so, total expense= $15(28-x)+$30x=$(15x+420)

Answer 4

\(\Large \color{purple}{\rightarrow (a) 28 -x}\)

\(\Large \color{purple}{\rightarrow (b) 30x }\)

\(\Large \color{purple}{\rightarrow (c) 15(28 -x ) }\)

\(\Large \color{purple}{\rightarrow (i) 30x + 15(28 - x) = 30x + 420 - 15x = 15x + 420 }\)


\(\Large \color{purple}{\rightarrow (ii) 15x + 420 = 660 }\)

\(\Large \color{purple}{\rightarrow 15x = 240}\)

\(\Large \color{purple}{\rightarrow x = 16 }\)

So, 16 adult tickets. If you have any doubt, please ask.

Answer 5

for the last one,
total expense= 15x+420
it is given, total expense=$660
so, 15x+420=660
x=(660-420)/15=16
there are 16 adults, 28-26=12 children

Answer 6

@lgbasallote Please point any mistake if there :p

Answer 7

no, mistake :D

Answer 8

i dont know how you got your answers parth =_= i said explanation :P

Answer 9

eliminate the comma, BTW ^^

Answer 10

Okay, first one is obvious. If there are some tickets bought by adults and total are 28, then 28 - x would be for children.

Answer 11

2nd one, see, we have to multiply the price by the number of tickets, so it's 30 * x = 30x

Answer 12

The 3rd one is almost the same, price * number of tickets.

Answer 13

Total amount spent is amount for children + amount of adults, which I've written and solved.

Answer 14

Last one: We know that the total amount spent is 660 dollars, so we know that 15x + 420 is the expression. We put up an equation: 660 = 15x + 420, solve for x, and find the value of 30x(adult tickets cost)

Answer 15

@lgbasallote Can I have your worthy medal now lol

Answer 16

you can have the asker's more worthy medal :p

Answer 17

THANKS A MIL PARTHKOLI! Your working and explanation is superb. Had most of it but wanted to be sure!

Answer 18

You're welcome @shipwreck

\(\Large \color{purple}{\rightarrow x + {1x \over 2} = smartscore }\)

\(\Large \color{purple}{\rightarrow {3 \over 2}x }\)

@lgbasallote If you gimme the medal, I'll have a profit of 0.5x