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At the city museum, child admission is $5.20 and adult admission is $8.30 . On Monday, three times as many adult tickets as child tickets were sold, for a total sales of $1173.90

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puresugar10

Write the equations: \(5.20c+8.30a=1173.90 \\ c=3a\)

Substitute for c: \(5.20(3a)+8.30a=1173.90\)

Solve for a: \(5.20(3a)+8.30a=1173.90 \\ 15.60a+8.30a=1173.90 \\ 23.90a=1173.90 \\ a=49\)

There were about 49 adult tickets sold. There were about 147 child tickets sold.

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