Devin paid $\$ 410$ for his last computer. His new computer cost $15 \%$ more than his last computer. What is the price of his new computer?
\[
\$
\]
Preview
Answer
Final Answer: The price of the new computer is \(\boxed{\$471.5}\).
Step 1 ：Let's denote the price of the old computer as \(P_{old}\) and the price of the new computer as \(P_{new}\). Given that \(P_{old} = \$410\) and the new computer is 15% more expensive, we can express \(P_{new}\) as \(P_{old} + 0.15 \times P_{old}\).
Step 2 ：Substituting the given value into the equation, we get \(P_{new} = \$410 + 0.15 \times \$410\).
Step 3 ：Calculating the value, we get \(P_{new} = \$410 + \$61.5\).
Step 4 ：Adding these values together, we find that \(P_{new} = \$471.5\).
Step 5 ：Final Answer: The price of the new computer is \(\boxed{\$471.5}\).
