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Adult tickets to a play cost $22 tickets for kids cost $15. Tickets for a group of 11 cost a total of $228. How many children and how many adults went to the play?

User Leo Chan
by
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1 Answer

6 votes

Answer:Number of children = 2 and number of adults = 9 attended the play

Explanation:

Step 1

Let the number of children be represented as x

and the number of adults in the group be represented as as y

such that the total number of the group that went to the play

= x+y=11--- equation 1

And the total cost paid for the play will be expressed as

15x+ 22y= 228------ equation 2

Step 2-- Solving

x+y=11--- equation 1

15x+ 22y= 228------ equation 2

B y elimination method, multiply equation 1 by 15 to give equation 3 and then subtract from equation 2

15x+ 22y= 228------ equation 2

15x+15Y= 165----- equation 3

7y=63

y= 63/7= 9

y= adults = 9

therefore x = number of children will be

x+y=11

x+ 9=11

x= 11-9= 2

In the group that attended the play, Number of children = 2 and number of adults = 9

User Ymagine First
by
5.5k points
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