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there were 400 people at a play. admission price is $3 for adults $2 for children. Admission receipts were $900. How many adults and Children were there

Just need help solving these word problems 

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Jim S. | Physics (and math) are fun, reallyPhysics (and math) are fun, really
4.7 4.7 (190 lesson ratings) (190)
Let C= no of children
     A= no of adults
     A+C=400         this is the statement that the sum of the people (adults and children) was 400
    3*A+2*C=900   this says that each adult paid $3 and each child paid $2 for a ticket and the total amount 
                            (the sum) spent was $900
Solving gives A=100 C=300/