Raj's height increased by 8 is 51. Use the variable r to represent Raj's height.
Answer (2)
Represent Raj's height with the variable r .
Formulate the equation r + 8 = 51 based on the given information.
Solve for r by subtracting 8 from both sides: r = 51 − 8 .
Determine Raj's height: 43 .
Explanation
Understanding the Problem We are given that Raj's height increased by 8 is 51. We are asked to use the variable 'r' to represent Raj's height. This means we need to find the value of 'r'.
Forming the Equation We can translate the given information into an equation: r + 8 = 51. This equation states that Raj's height (r) plus 8 equals 51.
Solving for r To solve for 'r', we need to isolate 'r' on one side of the equation. We can do this by subtracting 8 from both sides of the equation: r + 8 - 8 = 51 - 8. This simplifies to r = 43.
Final Answer Therefore, Raj's height is 43.
Examples
Imagine you're baking a cake and need to figure out how much flour to use. If you know that the total amount of dry ingredients should be 51 ounces, and you've already added 8 ounces of sugar, you can use the same equation (r + 8 = 51) to find out how many ounces of flour (r) you need to add. Solving this equation helps you measure the correct amount of flour to ensure your cake turns out perfectly. This principle applies to many situations where you need to determine an unknown quantity based on a known total and some additional amounts.
Raj's height can be represented as r . The equation r + 8 = 51 leads us to find that Raj's height is 43 . This problem helps us practice translating words into mathematical expressions and solving for unknowns.
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