alleryStart learning →Solve: 0.36(100n + 5) = 0.6(30n + 15).
An = 0.4
Bn = -0.4
Cn = 40
Dn = -40
Answer & Solution
Correct answer: A. n = 0.4
1. Distribute on both sides: the left becomes 36n + 1.8, and the right becomes 18n + 9.
2. Subtract 18n from both sides to collect variables on the left: 18n + 1.8 = 9.
3. Subtract 1.8 from both sides: 18n = 7.2.
4. Divide both sides by 18 to get n equals 0.4, and checking confirms both sides equal 15.8 when n is 0.4.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.4 Use a General Strategy to Solve Linear Equations_
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