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Question
The girls had 3 weeks to sell tickets for their play. In the first week, they sold a+b+2 tickets. In the second week they sold a-b-1 tickets and in the third week they sold a+b-4 tickets. How many tickets did they sell in all?
The girls had 3 weeks to sell tickets for their play. In the first week, they sold a+b+2 tickets. In the second week they sold a-b-1 tickets and in the third week they sold a+b-4 tickets. How many tickets did they sell in all?
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Solution
The correct option is C 3a+b-3
Tickets sold in the first week = a+b+2
Tickets sold in the second week = a-b-1
Tickets sold in the third week = a+b-4
Total number of tickets sold = (a+b+2) + (a-b-1) + (a+b-4)
= a+b+2+ a-b-1+ a+b-4
= a+a+a+b-b+b+2-1-4
= 3a+b-3
3a+b-3 tickets were sold in all.
3a+b-3
Tickets sold in the first week = a+b+2
Tickets sold in the second week = a-b-1
Tickets sold in the third week = a+b-4
Total number of tickets sold = (a+b+2) + (a-b-1) + (a+b-4)
= a+b+2+ a-b-1+ a+b-4
= a+a+a+b-b+b+2-1-4
= 3a+b-3
3a+b-3 tickets were sold in all.
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