the sum of two number is 4000 is 15% of one is equal to 25% of the Other find the number
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Explanation:
Let x and y be the two numbers.
First equation:
x+y=4000
Second equation (remember 15% of a number means .15 times the number):
.15x=.25y
Isolate y in the first equation:
x+y=4000
y=4000−x
Substitute this into the second equation:
.15x=.25(4000−x)
Distribute and solve for x:
.15x=1000−.25x
.4x=1000
x=2500
Substitute this into first equation written in terms of y:
y=4000−x
y=4000−(2500)
y=1500
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