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x=the number
.
(3/5)(x+4)+6x=250
(3/5)x+(3/5)4+(30/5)x=250
(33/5)x=(1250/5)-(12/5)
(33/5)x=(1238/5)
33x=1238
x=1238/33
x=37.52
.
ANSWER: The number is 37.52
.
CHECK:
(3/5)(37.52+4)+6(37.52)=250
(3/5)(41.52)+225.1=250
24.9+225.1=250
250=250