Mai's water bottle had $24$ ounces in it. After she drank $x$ ounces of water, $10$ ounces left. $\newline$ Select all the equations that represent this situation. $\newline$ (A) $24 \div 10=x$ $\newline$ (B) $24+10=x$ $\newline$ (C) $24-10=x$ $\newline$ (D) $x+10=24$ $\newline$ (E) $10 x=24$

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Grade 8

Multiply and divide rational numbers: word problems

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Q. Mai's water bottle had

24

ounces in it. After she drank

x

ounces of water,

10

ounces left.

\newline

Select all the equations that represent this situation.

\newline

(A)

24 \div 10=x

\newline

(B)

24+10=x

\newline

(C)

24-10=x

\newline

(D)

x+10=24

\newline

(E)

10 x=24

Analyze Situation: Let's analyze the situation. Mai had $24$ ounces of water. After drinking some amount, which we'll call $x$ , there are $10$ ounces left. The correct equation should reflect this situation.
Set Up Equation: We can set up an equation that represents the amount of water before and after Mai drinks. Initially, she has $24$ ounces, and after drinking $x$ ounces, she should have $10$ ounces left. So the equation should be: $\newline$ $24 - x = 10$
Check Options: Now let's check each of the provided options to see if they match the correct equation: $\newline$ A) $24 \div 10 = x$ $\newline$ This equation suggests that dividing $24$ by $10$ gives us the amount Mai drank, which is not correct according to the situation described.
Option A: B) $24 + 10 = x$ $\newline$ This equation suggests that adding $10$ to $24$ gives us the amount Mai drank, which is also not correct according to the situation described.
Option B: C) $24 - 10 = x$ $\newline$ This equation suggests that subtracting $10$ from $24$ gives us the amount Mai drank, which is not correct. It actually gives us the amount left after Mai drank the water, not the amount she drank.
Option C: D) $x + 10 = 24$ $\newline$ This equation correctly represents the situation. If Mai drank $x$ ounces and $10$ ounces are left, adding these two amounts should give us the initial total, which is $24$ ounces.
Option D: E) $10 x = 24$ $\newline$ This equation suggests that multiplying $10$ by some number gives us $24$ , which is not related to the situation described.