SOLUTION: 3/8 of Desmond’s allowance is equal to 5/6 of Luke’s allowance. If Desmond’s allowance is $44 more than Luke’s, find their total allowance.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 3/8 of Desmond’s allowance is equal to 5/6 of Luke’s allowance. If Desmond’s allowance is $44 more than Luke’s, find their total allowance.      Log On


   

Question 1186023: 3/8 of Desmond’s allowance is equal to 5/6 of Luke’s allowance. If Desmond’s
allowance is $44 more than Luke’s, find their total allowance.
Found 2 solutions by EaazyGoarth, greenestamps:
Answer by EaazyGoarth(2) About Me  (Show Source):
You can put this solution on YOUR website!
Desmond’s total allowance = $44 ÷ 5 × 8
= $70.40
Luke’s total allowance = $70.40 × 3/8 ÷ 5 × 6
= $31.68
Total allowance = $70.40 + $31.68
= $102.08

Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Unfortunately, anybody can write responses to readers' questions on this forum.

New tutor @EaazyGoarth has provided responses to two questions, neither of which seems to have much at all to do with the questions that were asked....

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Let D and L represent the amounts of Desmond's and Luke's allowances, respectively. Then

(1) D-L=44
(2) (3/8)D=(5/6)L

Solve (2) for L and substitute in (1):

L=(6/5)(3/8)D = (18/40)D = (9/20)D

D-(9/20)D = 44
(11/20)D = 44
D = 80
80-L = 44
L = 36

ANSWER: Their total allowance was $80+$36 = $116