Chapter 6, Problem 15MCQ

To determine

To find : To determine the number of chocolates and lollipops she bought.

Answer to Problem 15MCQ

The number of chocolates bought are 4.

The number of lollipops bought are 8.

So B option is correct.

Explanation of Solution

Given information :

Given:

Total money spent on buying 12 candies are $ 16

The cost of each chocolate is $ 2

The cost of each chocolate is $ 1

.

Let:

The number of chocolates bought is x

And the number of lollipops bought is y

So according to the question:

Number of chocolates + Number of lollipops = 12

Or $x+y=12$ ....Equation 1

Also

The cost of each chocolate $\times$ number of chocolates bought + The cost of each lollipop $\times$ number of lollipop bought= 16

Or $2\times x+1\times y=16$

Or $2x+y=16$ ....Equation 2

Subtracting Equation 1 from Equation 2:

  $\begin{array}{l}(2x+y)-(x+y)=16-12\\ \Rightarrow 2x+y-x-y=4\\ \Rightarrow x=4\end{array}$

Putting the value of x in the equation, we get:

  $\begin{array}{l}4+y=12\\ \Rightarrow y=12-4\\ \Rightarrow y=8\end{array}$

So the number of chocolates bought are 4.

And the number of lollipops bought are 8.

So B option is correct.