Hello there!
Taylor gets: $24
Mahlon gets: $48
Angel gets: $72
Set up an equation to model each.
Taylor gets half the allowance Mahlon gets. - 2t = m
Angel receives 3 times what Taylor gets. - 3t = a
Together they receive: - a + m + t = 144
Now, we can plug in these values into the last equation: 2t = m and 3t = a
a + m + t = 144
3t + 2t + t = 144
Now, solve for t.
5t + t = 144
6t = 144
t = 24
Now we know how much Taylor gets, but what about everyone else? Well, remember that in the question, it said that "<em>Angel receives 3 times what Taylor gets</em>" So we can multiply Taylor's allowance by 3 to get Angel's.
24 x 3 = 72
Lastly, we need to find Mahlon's allowance.
We can add together Angel and Taylor's total allowances and subtract it from 144, and whatever we have left is Mahlon's allowance.
24 + 72 = 96
144 - 96 = 48
So, this is Mahlon's allowance, and now we have everyone's allowances. I hope this helps and have a great day!!
