Edgar had three times as many pairs of sunglasses as his friend Ted. Since Edgar didn't wear all of them regularly, he gave four pairs to Ted. Now they have the same number of pairs. Which equation can you use to find t, the number of pairs Ted had initially? Choices: (A)3t - 4 = t + 4 (B)3t = t + 4 How many pairs of sunglasses did Ted have initially? ____ pairs

Set up equation: Let t be the number of pairs Ted had initially. Edgar had 3 times as many, so he had 3t pairs. After giving Ted 4 pairs, Edgar and Ted have the same number of pairs. Set up the equation: Edgar's final pairs = Ted's final pairs. Simplify equation: Simplify the equation by subtracting t from both sides to isolate terms with t on one side. Add to isolate: Add 4 to both sides to further isolate t. Divide to solve: Divide both sides by 2 to solve for t.

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Edgar had three times as many pairs of sunglasses as his friend Ted. Since Edgar didn't wear all of them regularly, he gave four pairs to Ted. Now they have the same number of pairs. $\newline$ Which equation can you use to find $t$ , the number of pairs Ted had initially? $\newline$ Choices: $\newline$ (A) $3t - 4 = t + 4$ $\newline$ (B) $3t = t + 4$ $\newline$ How many pairs of sunglasses did Ted have initially? $\newline$ $\_\_\_\_$ pairs $\newline$

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Algebra 1

Solve linear equations with variables on both sides: word problems

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Q. Edgar had three times as many pairs of sunglasses as his friend Ted. Since Edgar didn't wear all of them regularly, he gave four pairs to Ted. Now they have the same number of pairs.

\newline

Which equation can you use to find

t

, the number of pairs Ted had initially?

\newline

Choices:

\newline

(A)

3t - 4 = t + 4

\newline

(B)

3t = t + 4

\newline

How many pairs of sunglasses did Ted have initially?

\newline

\_\_\_\_

pairs

\newline

Set up equation: Let $t$ be the number of pairs Ted had initially. Edgar had $3$ times as many, so he had $3t$ pairs. After giving Ted $4$ pairs, Edgar and Ted have the same number of pairs. Set up the equation: Edgar's final pairs = Ted's final pairs.
Simplify equation: Simplify the equation by subtracting $t$ from both sides to isolate terms with $t$ on one side.
Add to isolate: Add $4$ to both sides to further isolate $t$ .
Divide to solve: Divide both sides by $2$ to solve for $t$ .