SOLUTION: three people makori, ondiek and mosomi contributed money to start a business, makori contributed a quarter of the total amount and ondiek two fifth of the remainder. mosomi contrib

Algebra ->  Polygons -> SOLUTION: three people makori, ondiek and mosomi contributed money to start a business, makori contributed a quarter of the total amount and ondiek two fifth of the remainder. mosomi contrib      Log On


   



Question 600014: three people makori, ondiek and mosomi contributed money to start a business, makori contributed a quarter of the total amount and ondiek two fifth of the remainder. mosomi contribution was one and a half times that of makori. they borrowed the rest of the money from the bank which was 60,000 less than mosomi's contribution. find the total amount required to start a business?

Found 2 solutions by josmiceli, ankor@dixie-net.com:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount needed to start business
Makori contributes +x%2F4+
----------------------
The remainder is +%283x%29%2F4+
Ondiek contributes +%282%2F5%29%2A%28%283x%29%2F4%29+
+%282%2F5%29%2A%28%283x%29%2F4%29+=+%283%2F10%29%2Ax+
----------------------
Mosomi contributes +%283%2F2%29%2A%28x%2F4%29+
+%283%2F2%29%2A%28x%2F4%29+=+%283x%29%2F8+
----------------------
The remainder is
+x+-+%28+x%2F4+%2B+%283x%29%2F10+%2B+%283x%29%2F8+%29+
+x+-+%28+x%2F4+%2B+%283x%29%2F10+%2B+%283x%29%2F8+%29+=+%283x%29%2F8+-+60000+
+x+-+x%2F4+-+%283x%29%2F10+-+%283x%29%2F8++=+%283x%29%2F8+-+60000+
+x+-+x%2F4+-+%283x%29%2F10+-+%283x%29%2F4++=+-+60000+
+x%2A%28++1+-+1%2F4+-+3%2F10+-+3%2F4%29+=+-60000+
+x%2A%28+40%2F40+-+10%2F40+-+12%2F40+-+30%2F40+%29+=+-60000+
+%28x%2F40%29%2A%28+40+-+10+-+12+-+30+%29+=+-60000+
+%28+x%2F40+%29%2A%28-12+%29+=+-60000+
+%28-3%2F10%29%2Ax+=+-+60000+
+x+=+%2810%2F3%29%2A60000+
+x+=+200000+
The total amount required is 200,000

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
three people makori, ondiek and mosomi contributed money to start a business, makori contributed a quarter of the total amount and ondiek two fifth of the remainder. mosomi contribution was one and a half times that of makori. they borrowed the rest of the money from the bank which was 60,000 less than mosomi's contribution. find the total amount required to start a business?
:
Lets use x, y, z for these "names"
:
Let t = total amt for the business
x: "one quarter of the amt":.25t
y: "two fifth of the remainder": .4(.75t) = .3t
z: "one and one half of x": 1.5(.25t) = .375t
Bank: .375t-60000
:
Total = x + y + z + bank
t = .25t + .3t + .375t + (.375t- 60000)
t = 1.3t - 60000
60000 = 1.3t - t
t = 60000%2F.3
t = $200,000 to start the business