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Jace wrote a sentence as an equation.

"56 is 14 more than a number."

[tex]\[ 14 + p = 56 \][/tex]

Which statement best describes Jace's work?

A. Jace is not correct. The phrase "more than" suggests using the symbol [tex]\(\ \textgreater \ \)[/tex] and Jace did not use that symbol.
B. Jace is not correct. He was correct to use addition, but the equation should be [tex]\( 56 + p = 14 \)[/tex].
C. Jace is not correct. The first number in the sentence is 56, so the equation should start with 56.
D. Jace is correct. The phrase "more than" suggests addition, so Jace showed that 14 plus a variable equals 56.

Sagot :

GinnyAnswer
Let's break down the sentence, "56 is 14 more than a number," and match it with Jace's work.

1. The phrase "56 is 14 more than a number" means we need to find a number that, when we add 14 to it, equals 56.

2. Let’s denote this number as [tex]\( p \)[/tex].

3. According to the given sentence, if we take this number ([tex]\( p \)[/tex]), and add 14 to it, we should get 56. This translates mathematically to:
[tex]\[ 14 + p = 56 \][/tex]

4. To find the value of [tex]\( p \)[/tex], we solve the equation by isolating [tex]\( p \)[/tex]:
[tex]\[ 14 + p = 56 \][/tex]

5. Subtract 14 from both sides to isolate [tex]\( p \)[/tex]:
[tex]\[ p = 56 - 14 \][/tex]
[tex]\[ p = 42 \][/tex]

However, your question requests a specific assessment of Jace's work based on the options provided. Among the given choices, the statement that best describes Jace's work is:

- Jace is correct. The phrase "more than" suggests addition, so Jace showed that 14 plus a variable equals 56.

This statement is correct because Jace appropriately interpreted the phrase "14 more than a number" as an addition and set up the equation [tex]\( 14 + p = 56 \)[/tex].
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