Question

Muthu, Ali and Bill shared a sum of money. 30% of Muthu's share was equal to 80% of Ali's share. Bill's share was 25% of Muthu's share.
Ali had $185 more than Bill.

(a) Find the total sum of money.
(b) If Muthu gave Bill 55% of his share, what percent of Bill's share was Ali's share? Round off your answer to 1 decimal place.

Answer 1

.3M=.8A
B=.25M
A-185=B

find A+B+M

starting with last equation, then substuting

A-185=B
.3/.8 M-185=.25M

.3M-.8*185=.8*.25 M
.3M-.2M=.8*185
.1M=148
M=1480

check that, then solve for B, and A

Answer 2

Let their respective amounts be m, a and b

30% of Muthu's share equals 80% of Ali's share
.3m = .8a
3m = 8a
m = 8a/3

Bill's share was 25% of Muthus share
b = .25 m
4b = m

Ali had $185 more than Bill
a = b+185 or b = a-185

but since m = 8a/3 and m = 4b
8a/3 = 4b
times 3
8a = 12b
sub in b = a-185
8a = 12(a-185)
8a = 12a - 2220
-4a = -2220
a = 555
then b = 555-185 = 370
m = 4b = 4(370) = 14800

<b>So Muthu had 1480
Ali had 555
Bill had 370
for a total of $2405</b>

check: does Ali have 185 more than Bill ? YES
is 30% of 1480 , or 444
equal to .8(555) or 444 , YEAHHH

b) now that we have the actual amounts, I am sure you can handle b)

Answer 3

Salisu Timi



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