University Theater sold 556 tickets for a play. Tickets cost $22 per adult and $12 per senior citizen. If total receipts were $8492, how many senior citizen tickets were sold?
556 = x+y or total number for both senior and adult tickets sold
x= number of adults tickets sold
y= number of senior tickets sold
+14986 University Theater sold 556 tickets for a play. Tickets cost $22 per adult and $12 per senior citizen. If total receipts were $8492, how many senior citizen tickets were sold?
556 = x+y or total number for both senior and adult tickets sold
x= number of adults tickets sold
y= number of senior tickets sold
\(x\times \$22+y\times \$12=\$8492\)
\(x+y=556\) change of page and sign
\(x=556-y\) x einsetzen
\((556-y)\times \$22+y\times \$12=\$8492\) multiply and divide by $
\(556\times 22-22y+12y=8492\) change of page and sign
calculate
\(10y=12232-8492\) divide by 10 on both sides
\(y=374\)
\(x=556-y=556-374\) set y
\(x=182\)
\(There \ were \ 182 \ tickets \ for \ adults \)
\(and \ 374 \ tickets \ for \ seniors \ sold.\)
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