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Let Children=C

Let Adult=A

Set up two equations:

3C+9A=$1905

C+A=419 tickets

Solve the second equation for C or A, I'm choosing A

A=419-C

Sub it into the other equation

3C+9(419-C)=1905

3C+3771-9C=1905 Distribute

3771-6C=1905 Combine like terms

-6C=(-1866) Subtract 3771 from both sides

C=311 Divide by -6

Take 311 and plug it into the other equation "C+A=419"

to find A=108

Answer

Sold 108 adult tickets and 311 child tickets

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Q: Tickets are sold for 3.00 per child and 9.00 per adult they sold a total of 419. tickets for 1905.00 how many of each type of ticket did they sell?
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