Chandler and his friend Alec recently bought new cell phones. Alec's phone was 20% more expensive than Chandler's. Chandler also spent $37 on an extended warranty and $55 on a new phone case. Both friends ended up spending the same amount of money. Which equation can you use to find p, the price of Chandler's phone? Choices: (A)0.2p + 55 = p + 37 (B)p + 0.2p = p + 37 + 55 What was the price of Chandler's phone? ____ $

Question

Chandler and his friend Alec recently bought new cell phones. Alec's phone was 20% more expensive than Chandler's. Chandler also spent $37 on an extended warranty and $55 on a new phone case. Both friends ended up spending the same amount of money. Which equation can you use to find p, the price of Chandler's phone?   Choices: (A)0.2p + 55 = p + 37 (B)p + 0.2p = p + 37 + 55  What was the price of Chandler's phone?   ____ $

Bytelearn · Accepted Answer

Identify Correct Equation: Let's identify the correct equation to represent the situation. Alec's phone costs 20% more than Chandler's phone. If p represents the price of Chandler's phone, then Alec's phone costs p + 0.2p. Chandler also spent an additional $37 on an extended warranty and $55 on a phone case, making his total spending p + 37 + 55. Since both friends spent the same amount, we can set the expressions for their spending equal to each other to find p.Choose Correct Equation: Now, let's choose the correct equation from the given choices that matches our representation. The correct equation is (B) p + 0.2p = p + 37 + 55, because it accounts for the 20% additional cost of Alec's phone and the extra costs Chandler incurred.Simplify Equation: Simplify the equation to solve for p. First, combine like terms on the left side: p + 0.2p becomes 1.2p. On the right side, add 37 and 55 to get 92. So the equation simplifies to 1.2p = p + 92.Isolate Terms with p: Subtract p from both sides to isolate the terms with p on one side. 1.2p - p = p + 92 - p This simplifies to 0.2p = 92.Divide to Solve for p: Divide both sides by 0.2 to solve for p. p = 92 / 0.2 p = 460

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