Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year. How tall was Cody on the first day of school last year? ◻ cm

Question

Cody was  165cm tall on the first day of school this year, which was  10% taller than he was on the first day of school last year. How tall was Cody on the first day of school last year?  ◻  cm

Bytelearn · Accepted Answer

Understand the problem: Understand the problem and what is being asked. Cody was 165 cm tall on the first day of school this year, and this height is 10% taller than his height on the first day of school last year. We need to find out Cody's height from last year.Set up the equation: Set up the equation to find Cody's height from last year. Let Cody's height from last year be x cm. According to the problem, Cody's height this year (165 cm) is 10% taller than last year. This means that Cody's height this year is 110% of last year's height. So, we can write the equation as: 110% of x = 165 cmConvert to decimal: Convert the percentage to a decimal to use it in the equation. 110% as a decimal is 1.10. So the equation becomes: 1.10 * x = 165Solve for x: Solve for x to find Cody's height from last year. Divide both sides of the equation by 1.10 to isolate x: x = 165 / 1.10Perform division: Perform the division to calculate x. x = 150Verify solution: Verify the solution. If Cody was 150 cm tall last year, then a 10% increase would be 150 cm * 0.10 = 15 cm. Adding this increase to last year's height should give us this year's height: 150 cm + 15 cm = 165 cm Since this matches the given height for this year, our solution is correct.

Cody was $165 \mathrm{~cm}$ tall on the first day of school this year, which was $10 \%$ taller than he was on the first day of school last year. $\newline$ How tall was Cody on the first day of school last year? $\newline$ ______ $\mathrm{cm}$

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Cody was 165 cm 165 \mathrm{~cm} 165 cm tall on the first day of school this year, which was 10% 10 \% 10% taller than he was on the first day of school last year.\newlineHow tall was Cody on the first day of school last year?\newline______ cm \mathrm{cm} cm

Cody was $165 \mathrm{~cm}$ tall on the first day of school this year, which was $10 \%$ taller than he was on the first day of school last year. $\newline$ How tall was Cody on the first day of school last year? $\newline$ ______ $\mathrm{cm}$