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jmc

prealgebra junior

Problem

If

\frac{3}{5} = \frac{M}{45} = \frac{60}{N}

, what is

M + N

?

(A)

27

(B)

29

(C)

45

(D)

105

(E)

127

Solution

Separate into two equations

\frac{3}{5} = \frac{M}{45}

and

\frac{3}{5} = \frac{60}{N}

and solve for the unknowns.

M = 27

and

N = 100

, therefore

M + N = 127

.

Final answer

E