Question

Linda was selling tickets for the school play. She sold 10 more adult tickets then children tickets and sold twice as much senior tickets. In total, she sold 220 tickets. Write an equation that could be used to determine the number of children’s tickets sold.

Answer 1

Let the number of children tickets sold be x.

Since 10 more adult tickets than children tickets were sold, it implies that the number of adult tickets sold is x+10.

Also, since twice as many senior tickets were sold, it follows that the number of senior tickets sold is 2x.

The sum of the number of tickets is the total number of tickets sold, 200.

Hence, add the number of tickets for children, adults, and seniors, and equate to 200:

`\begin{gathered} 10+x+10+2x=200 \\ \Rightarrow3x+20=200 \end{gathered}`

Hence, the required equation is 3x+20=200.