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Question

As part of a school contest, Sarah and Luis are playing a math game. Sarah must pick a number between 1 and 50 and give Luis clues so he can write an equation to find her number . Sarah says, "If I subtract 5 from my numbe r, multiply that quantity by 4, and then add 7 to the result, I get 35:'

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Let x be Sarah's number.

Write an equation.

$\begin{align*} \tag{Distribute 4 to the terms within the parentheses.} (x-5)\cdot4+7&=35\\ \tag{Simplify.} 4x-20+7&=35\\ \tag{Add 13 to both sides.} 4x-13&=35\\ \tag{Divide both sides by 4.} 4x&=48\\ x&=12\\ \end{align*}$

Sarah's number is 12.

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