Question

A shooting gallery game awards the player 2 points for hitting a stationary duck-target, and 3 points for hitting a moving duck-target. Escobar hit ten targets, and scored 23 points. How many stationary targets did he hit? How many moving targets did he hit?

Answer 1

M + s = 10 or s = 10 - m 
3m + 2s = 23 
substitute first equation into second equation: 
3m + 2(10 - m) = 23 
3m + 20 - 2m = 23 
m = 3 
using first equation: 
s = 10 - 3 = 7 
check using second equation: 
3(3) + 2(7) = 23 
9 + 14 = 23 checks 
He hit 7 stationary and 3 moving targets.