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 Relationship: Understand the relationship between Cody's current height and his height last year. Cody is currently 165 cm tall, which is 10% taller than his height last year. This means that his height last year was the base height, and 165 cm is 110% of that base height.Express Equation: Express the relationship in an equation. Let Cody's height last year be x cm. Then, 110% of x is equal to 165 cm. We can write this as: 110% of x = 165 cmConvert to Decimal: Convert the percentage to a decimal to use in the equation. 110% as a decimal is 1.10. So the equation becomes: 1.10 * x = 165Solve for x: Solve for x by dividing both sides of the equation by 1.10. x = 165 / 1.10 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 to his height last year gives us 150 cm + 15 cm = 165 cm, which matches the given current height.

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?\newlinecm \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? $\newline$ $\mathrm{cm}$