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91Ó°ÊÓ

In the following exercise, translate to an equation and then solve.

The sum of two-fifths and f is one-half.

Short Answer

Expert verified

Thetranslationintheequationformis25+f=12andthesolutionisf=110.

Step by step solution

01

Step 1. Given information

Given:

The sum of two-fifths and f is one-half.

We will translate the sentence into an equation and then solve the equation.

02

Step 2. Translate the sentence into an equation

Thesumoftwo-fifthsandfÁåŸisÁåŸone-halfÁåŸâ‡“⇓⇓25+f=12

03

Step 3. Simplify

⇒25+f=12⇒25+f−25=12−25Subtract25fromboththesides⇒f=1×5−2×22×5⇒f=5−410⇒f=110

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