Answer:
Flag = 46
Shamrock = 46
Hat = 27
Accordion = 198
Explanation:
To keep things simple, I'll denote the flag with f, the shamrock with s, the hat with h and the accordion with a.
The second equation tells us that f/s is 1. When you divide something by something and get 1, that means they're equal (eg, 2÷2=1, 3÷3=1 etc). That means f=s.
The second equation tells us f+s+s=138, but since f=s, this basically means 3f=138. Dividing both sides by three, we find out f=46 and by extension, s=46.
The third equation tells us s+h+h=100. We know s so we can write this as 46+2h=100. Take 46 form both sides to get 2h=54. Divide both sides by 2, we find out h=27.
The fourth equation tells us a=4f+14. Sub in our value for f and this is a=(4x46)+14. Solve this to get a=184+14, a=198.