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Read this word problem. $\newline$ Kayla began a science experiment with $18$ grams of an unknown solid. During the experiment, the change in the mass of the solid was $-7$ grams. What was the mass of the solid at the end of the experiment? $\newline$ To solve the problem, Edna subtracted $18 - (-7)$ and came up with an answer of $25$ grams. Is Edna correct? Why or why not? $\newline$ Choices: $\newline$ (A)Yes, Edna is correct. $\newline$ (B)No. The answer should have been $-25$ grams, not $25$ grams, because the mass of the solid decreased. $\newline$ (C)No. Edna should have added $18 + (-7)$ because she needed to add the initial mass and the change in mass.

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

Kayla began a science experiment with

18

grams of an unknown solid. During the experiment, the change in the mass of the solid was

-7

grams. What was the mass of the solid at the end of the experiment?

\newline

To solve the problem, Edna subtracted

18 - (-7)

and came up with an answer of

25

grams. Is Edna correct? Why or why not?

\newline

Choices:

\newline

(A)Yes, Edna is correct.

\newline

(B)No. The answer should have been

-25

grams, not

25

grams, because the mass of the solid decreased.

\newline

(C)No. Edna should have added

18 + (-7)

because she needed to add the initial mass and the change in mass.

Initial Mass and Change: Kayla started with $18$ grams. The change was $-7$ grams, which means the mass decreased by $7$ grams.
Calculating Final Mass: To find the final mass, we need to add the initial mass to the change in mass. So, we do $18 + (-7)$ .
Final Result: Calculating $18 + (-7)$ gives us $18 - 7$ , which equals $11$ grams.
Edna's Mistake: Edna's calculation was incorrect. She should have subtracted $7$ from $18$ , not added.

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