Question 665643
Establish variables
x = $ at 3.5%
y = $ at 7.5%
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Given
x+y = 10,000, which is the same as x = 10000-y
.035(x) + .075(y) = 520
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Substitute x into the second equation
.035(10000-y) + .075y = 520
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Distribute .035
.035(10000) - .035y + .075y = 520
350 + .04y = 520
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Isolate y
.04y = 520 - 350
.04y = 170
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Divide both sides by .04
y = {{{highlight(4250)}}}at 7.5%
x = 10000-4250 = {{{highlight(5750)}}} at 3.5%
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Check {{{cartoon(
.035(5750) + .075(4250), 201.25 + 318.75, 520)}}}
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