Which equation represents "fifteen more than r is sixty-one? a. r + 61 = 15. b. r + 15 = 61. c. r...

Question:

Which equation represents "fifteen more than r is sixty-one?

a. {eq}r + 61 = 15 {/eq}.

b. {eq}r + 15 = 61 {/eq}.

c. {eq}r - 15 = 61 {/eq}.

d. {eq}r + 61 = 15 {/eq}.

Sentence to Equation:

  • We can translate a sentence into an equation by using algebraic operations.
  • Here, we use + for "more than", - for "less than, multiplication for "times", = for "equal to" or "is".
  • We can solve the equation by applying the algebraic operations on both sides of the equation.

Answer and Explanation:

The given sentence is: "fifteen more than r is sixty-one".

Here, "fifteen more than r" is equivalent to the expression {eq}r+15 {/eq}.

So the above sentence translates to: "{eq}r+15 {/eq} is sixty-one".

Here, "is" always replaced with "=" sign.

So the above sentence finally translates to:

$$\color{blue}{\boxed{\mathbf{r+15=61}}} $$

Therefore, the answer is {eq}\color{blue}{\boxed{\mathbf{option (b)}}} {/eq}.


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