Basic Math/Algebra

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Question
class a and class b donated their class fund totaling $ 127 to an orphanage. if the amount donated by class a is $7 short of two-third of the amount donated by class b, how much money was donated by each class ?

Answer
Hi Eileen,

Let "b" be the amount donated by class B.
Translate "7 short of two-third of b" as (2/3)*b-7.

Express "a" the amount donated by class A in terms of "b".
a=(2/3)*b-7 ...[1]

Combined total:
a+b = 127   ...using [1] for "a"
(2/3)*b-7 +b = 127
(5/3)*b = 134
b = 80.4

a = 127-b = 46.6.

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When I work through problems, I like to emphasize concepts which I believe are worth noting. I will try to answer questions in the following areas, but not at the advanced level. Algebra. Sequences & Series. Trigonometry. Functions & Graphs. Coordinate Geometry. Quadratic Polynomials. Exponential & Logarithms. Basic Calculus. Probability, Permutation and Combination. Mathematical Induction. Complex numbers. Physics problems.

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