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Marta’s math textbook weighs 4/5 of a pound less than 4 times the weight of the book she is reading for her language arts class. If the weight of the math textbook is 2 1/5 pounds, which shows the correct equation and value of x, the weight of Marta’s book for language arts?

Verified Answer :

The answer is \(2\frac{1}{5} =4x- \frac{4}{5}\), x = 3/4 pound.

Let m be the weight of math textbook.
Let x be the weight of language arts class.
Math textbook weighs 4/5 of a pound less  than 4 times the weight of the book for language arts class:
m = 4x - 4/5

Since 
\(m = 2 \frac{1}{5}\), then:
\(2\frac{1}{5} =4x- \frac{4}{5}\)
\(2 + \frac{1}{5}=4x- \frac{4}{5}\)
\(2+ \frac{1}{5} + \frac{4}{5}=4x\)
\(2+ \frac{1+4}{5}=4x\)
\(2+ \frac{5}{5}=4x\)
\(2+1=4x\)
\(3=4x\)
\(x= \frac{3}{4}\)

Answer:

c

Step-by-step explanation: