SOLUTION: Separate 800 into three parts, such that the sum of the first, 1/2 of the second, and 2/5 of the third is 400; and the sum of the second, 3/4 of the first, and 1/4 of the third is
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-> SOLUTION: Separate 800 into three parts, such that the sum of the first, 1/2 of the second, and 2/5 of the third is 400; and the sum of the second, 3/4 of the first, and 1/4 of the third is
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Question 1112145: Separate 800 into three parts, such that the sum of the first, 1/2 of the second, and 2/5 of the third is 400; and the sum of the second, 3/4 of the first, and 1/4 of the third is 400. Answer by greenestamps(13203) (Show Source):
Solve the system by first eliminating one variable to reduce the problem to two equations in two variables. With the given coefficients, eliminating y first looks to be the easiest.
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Adding the last two equations, -->
Plugging back into earlier equations, x=100 and y=200.
