Hey !
Let us take the number of coins hector has as ' x '
Then, Eric would have ' 2x ' as he has twice as many as hector
Kiarra would have 7 + 2x , as she has 7 more than Eric
Together they have 127
Now, let us add them all up
x + 2x + 2x + 7 = 127
combining like terms
5x + 7 = 127
Subtracting 7 on both sides
5x = 120
dividing by 5 on both sides
x = 24
Hector has 24 coins
Eric has 48 coins
Kiarra has 55 coins
Hope my answer helps!