Final answer:
Zahra spent $26 on party favors for 10 attendees, puzzles for boys at $2 each, and magic tricks for girls at $3 each. To find the number of boys and girls, we solve the system of equations formed by total cost and number of favors, leading to the conclusion that 4 boys and 6 girls attended the party.
Step-by-step explanation:
Solving for the Number of Boys and Girls at the Party
Zahra spent $26 on party favors with puzzles for boys costing $2 each and magic tricks for girls at $3 each, purchasing a total of 10 favors. Let's denote the number of boys by b and the number of girls by g. The total cost of favors for boys is 2b dollars, and for girls it's 3g dollars. The total number of favors is given by the equation b + g = 10. Also, the total spent is represented by the equation 2b + 3g = 26.
By solving these two equations, we can find the values for b and g. We can use substitution or elimination to find that b = 4 and g = 6, so the correct answer is 4 boys and 6 girls attended the party (Option B).