A dinner was held to raise money for a children's museum. A ticket for one person cost $200 and a ticket for a couple (two people) cost $350. A total of 130 people attended the dinner, and the ticket sales total was $24,000. What is the total number of tickets that were sold?
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Answered by
15
Answer:
A total of 90 tickets are sold
Step-by-step explanation:
lets take a ticket for one person as x and for couple as y
Condition 1:
200x+350y=24000
4x+7y=480 -------------------------- A
Condition 2:
x+2y=130
y=130-x÷2 ----------------------------B
Substitute B in A
4x+7 (130-x÷2)=480
4x+(910-7x÷2)=480
8x+910-7x=480×2
910+x=960
x=960-910
x=50
Substitute x=50 in B
y=130-x÷2
y=130-50÷2
y=80÷2
y=40
Number of tickets sold:
=x+y
=50+40
=90
Therefore, number of tickets sold is 90
Answered by
0
Answer:90
Step-by-step explanation: none
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