A youth club held a pancake breakfast to raise money for a trip..

Question

Tickets were $2 for children and $6.50 for adults. If 285 tickets were sold and the group took in $1488, find the number of adults and the number of children that attended

 

The number of children that attended the breakfast is?

 The number of adults that attended the breakfast is?

Answer 1

The number of children that attended the breakfast is x

 

The number of adults that attended the breakfast is y

 

Tickets were $2 for children and $6.50 for adults ,If 285 tickets were sold and the group took in $1488

 

x+ y =285            _______equation 1

2x + 6.50y =1488 _______equation 2

 

To solve 2 equation simulteniously,

multiply equation 1 with -2

 

-2x -2y = -570

2x + 6.5y =1488

 

___________________

 

4.5 y = 918

 

y = 204

 

substitute the value y in equation 1

 

x + y= 285

 

x + 204 =285

 

x =  81

 

The number of children that attended the breakfast is x =81

The number of adults that attended the breakfast is y=204