The Bishop's Peak 4H club is having its annual fundraising dinner. Adults pay $30 apiece and children pay $15 apiece. If the number of adult tickets sold is twice the number of children's tickets sold, and the total income for the dinner is $3,750, how many of each kind of ticket did the 4H club sell?
A)82 adults and 41 children
B)88 adults and 44 children
C)100 adults and 50 children
D)200 adults and 100 children
E)80 adults and 40 children

Question

Quizplus · Accepted Answer

Let the number of children's tickets sold be $x$. Therefore, the number of adult tickets sold is $2x$. The total income can be represented by the equation $30(2x) + 15x = 3750$. Simplifying, $60x + 15x = 3750$, which simplifies further to $75x = 3750$. Solving for $x$, we find $x = 50$. Therefore, the number of children's tickets sold is 50, and the number of adult tickets sold is $2 \times 50 = 100$.

The Bishop's Peak 4H Club Is Having Its Annual Fundraising