Q6. - Algebra 2

Question

A pitcher contains $\text{a}$ ounces of orange juice. If $\text{b}$ ounces of juice are poured from pitcher into each of $\text{c}$ glasses, state which expression represents the amount of remaining in the pitcher.

 

A. $\frac{\text{a}}{\text{b}}+\text{c}$                                 B. $\text{ab}-\text{c}$

 

C. $\text{a}-\text{bc}$                                 D. $\frac{\text{a}}{\text{bc}}$

Step-by-Step Solution

Answer

The expression representing amount left in the pitcher is $\text{a}-\text{bc}$and the correct option is C.

Step 1 - State the definition of a variable.

A variable is a term that is used to represent an unknown value.

Step 2 - Obtain the expression.

Here, total amount of orange juice in the pitcher is a ounces.

Amount of orange jucice poured into each glass is b ounces.

Number of glasses in which juice was poured is c.

Total amount of juice poured into c glasses is:

In one glass, amount of juice is b ounces, then amount of juice in c glasses is $c\times b=bc$ ( by unitary method).

Amount poured out from the pitcher is $cb$ ounces, then

Amount left is:

$\begin{array}{c}\text{Left}=\text{Total}-\text{amount poured out}\\ =a-bc\end{array}$

Step 3 - State the conclusion.

The expression representing amount left in the pitcher is $a-bc$. Therefore, option C is correct.