Question

Taylor gets half the allowance Mahlon gets. Angel receives 3 times what Taylor gets together the 3 receive $144. How much does each student receive.

Answer 1

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 "Angel receives 3 times what Taylor gets" 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!!

Answer 2

Taylor gets: $24

Mahlon gets: $48

Angel gets: $72