Write the sentence as an equation. 372 reduced by j is equal to 96 _____

Understand the phrase: Step 1: Understand the phrase ＂372 reduced by j＂. The phrase ＂reduced by＂ indicates subtraction. Here, j is subtracted from 372. Calculation: 372 - jWrite the equation: Step 2: Write the equation based on the sentence. The sentence ＂372 reduced by j is equal to 96＂ translates to the equation 372 - j = 96. Calculation: 372 - j = 96Solve for j: Step 3: Solve the equation for j. To isolate j, subtract 372 from both sides of the equation. Calculation: 372 - j - 372 = 96 - 372 Simplified: -j = -276 To solve for j, multiply both sides by -1. Calculation: j = 276

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Math Problems

Grade 6

Write an equation from words

Full solution

Q. Write the sentence as an equation.

\newline

372

reduced by

j

is equal to

96

Understand the phrase: Step $1$ : Understand the phrase ＂ $372$ reduced by $j$ ＂. $\newline$ The phrase ＂reduced by＂ indicates subtraction. Here, $j$ is subtracted from $372$ . $\newline$ Calculation: $372 - j$
Write the equation: Step $2$ : Write the equation based on the sentence. $\newline$ The sentence ＂ $372$ reduced by $j$ is equal to $96$ ＂ translates to the equation $372 - j = 96$ . $\newline$ Calculation: $372 - j = 96$
Solve for j: Step $3$ : Solve the equation for j. $\newline$ To isolate j, subtract $372$ from both sides of the equation. $\newline$ Calculation: $372 - j - 372 = 96 - 372$ $\newline$ Simplified: $-j = -276$ $\newline$ To solve for j, multiply both sides by $-1$ . $\newline$ Calculation: $j = 276$