# Intermediate algebra, concepts and graphs

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Tickets for a school event were \$2.50 for students and \$3.50 for parents. If a total of 80 tickets were sold for \$234.00, how many students and parent tickets were sold?

• Intermediate algebra, concepts and graphs -

st = Number of students

pr = Number of parents

pr = 80 - st

2.5 * st + 3.5 * pr = 234

2.5 * st + 3.5 * ( 80 - st ) = 234

2.5 st + 3.5 * 80 - 3.5 St = 234

2.5 st + 280 - 3.5 st = 234

280 - st = 234 Add st to both sides

280 - st + st = 234 + st

280 = 234 + st Subtract 234 to both sides

280 - 234 = 234 + st - 234

46 = st

st = 46

pr = 80 - 46 = 34

46 students and 34 parents

Proof :

2.5 \$ * 46 + 3.5 \$ * 34 = 115 \$ + 119 \$ = 234 \$

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