SOLUTION: Danny's allowance is $44 more than Leonard's. If 3/8 of Danny’s allowance is equal to 5/8 of Leonard's allowance, find their total allowance?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Danny's allowance is $44 more than Leonard's. If 3/8 of Danny’s allowance is equal to 5/8 of Leonard's allowance, find their total allowance?      Log On


   

Question 1202747: Danny's allowance is $44 more than Leonard's. If 3/8 of Danny’s allowance is equal to 5/8 of Leonard's allowance, find their total allowance?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Danny           u+44
Leonard         u
TOTAL         2u+44


Second sentence description
%283%2F8%29%28u%2B44%29=%285%2F8%29u
The eighths is not necessary.
3%28u%2B44%29=5u

3u%2B3%2A44=5u
3%2A44=2u
3%2A22=u
highlight_green%28u=66%29 and you can find their total.

Answer by greenestamps(13214) About Me  (Show Source):
You can put this solution on YOUR website!


The solution shown by the other tutor starts from the first given piece of information -- that Danny's allowance is $44 more than Leonard's.

Here is an alternative approach, starting with the other piece of given information -- that 3/8 of Danny's allowance is equal to 5/8 of Leonard's allowance.

Since 3/8 of Danny's allowance is equal to 5/8 of Leonard's allowance, the ratio of their allowances is 5:3. Using that....

Let 5x = Danny's allowance
Let 3x = Leonard's allowance

Danny's allowance is $44 more than Leonard's:

5x-3x=44
2x=44
x=22

ANSWER: Their total allowance is 5x+3x = 8x = 8($22) = $176