SOLUTION: Divide 282 into two parts such that the eighth part of the first and the fifth part of the second are in the ratio 4:3.

Question 1040985: Divide 282 into two parts such that the eighth part of the first and the fifth part of the second are in the ratio 4:3.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Divide 282 into two parts such that the eighth part of the first and the fifth part of the second are in the ratio 4:3.
:
Two parts a & b
a + b = 282
"the eighth part of the first and the fifth part of the second are in the ratio 4:3."
Using the decimal equiv, 1/8 = .125 and 1/5 = .200
=
cross multiply
4(.2b) = 3(.125a)
.8b =.375a
b =
b = .46875a
then
a + .46875a = 282
1.46875a = 282
a =
a = 192
find b
b = 282-192
b = 90
:
The two parts are 192 and 90
:
:
:
See if this works
.125(192) = 24
.200(90) = 18
24/18 = 4/3
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