Question

a total of 775 tickets were sold for the school play. they were either adult or student tickets. there were 75 more student tickets sold thanadult tickets. how amany adult tickets were sold

Answer 1

a + s = 775

s = a + 75 ; where a = adult tickets and s = student tickets

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Solve for s in the first equation. Subtract a from both sides.

s = 775 - a

Plug s into the second equation.

(775 - a) = a + 75

Add a to both sides.

775 = 2a + 75

Subtract 75 from both sides.

700 = 2a

Divide both sides by 2.

a = 350

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350 adult tickets were sold.