Which system of equations can be used to solve the following problem. each child ticket for a ride costs $2.00, while each adult ticket costs $6.00. if the ride collected a total of $148, and 38 tickets were sold, how many of each type ticket were sold? let c be the number of child tickets and a be the number of adult tickets.

ANSWER
a) The system of equation is


and



b) 18 child tickets and 20 adult tickets were sold.

EXPLANATION

Let c be the number of child tickets and a be the number of adult tickets.

Since each child ticket costs $2.00, if


number of child tickets were sold, the cost is
$2c

Also, if


number of adult tickets will cost $6a

If the ride collected a total of $148, then we can write the equation,



A total of 38 tickets were sold. This gives us,



Divide equation (1) by 2 to get,



Equation (3) minus equation (2) gives,

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