Adult tickets for the school musical sold for 3.50 and student tickets sold for 2.50. Three hundred twenty-one tickets were sold all together for 937.50. How many of each kind of ticket were sold?
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Adult tickets for the school musical sold for 3.50 and student tickets sold for 2.50.
Three hundred twenty-one tickets were sold all together for 937.50.
How many of each kind of ticket were sold?
Call the number of Adult tickets A
Call the number of Student tickets S
(3.50) • A + (2.50) • S = 937.50 —> (3.50) • A + (2.50) • S = 937.50 (eq 1)
A + S = 321 multiply both sides by 2.50 —> (2.50) • A + (2.50) • S = 802.50 (eq 2)
subtract (eq 2) from (eq 1) (1.00) • A = 135.00
A = 135 Adult tickets
substitute 135 for A in A + S = 321 135 + S = 321
S = 186 Student tickets
check answer
Does (3.50) • (135) + (2.50) • (186) = 937.50 ?
472.50 + 465.00 = 937.50
937.50 = 937.50 True
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