Question

A pen costs $2.09. It costs $0.45less than a marker. Ken paid for one pen and one maker with a five-dollar bill. Use a tape diagram with calculation to determine him change.

Answer 1

Answer is 1.27 because 2.09- 0.45 = 1.64( because we are trying to forget out how much the marker cost) and 1.64 + 2.09= 3.73 ( to see how much it will be in total ) and well 5 - 3.73 = 1.64 ( to see the change they will give him )

Answer 2

The amount of money to be received by Ken is $\boxed{\bf \ \ 0.37}$.

Further explanation:

In the question it is given that the cost of one pen is $\ \ 2.09$ and the cost of a pen is $\ \ 0.45$ less than the cost of one marker.

Ken paid with a five dollar bill.

The objective is to determine the amount of change to be received by Ken.

Consider the cost of one pen as $x$ and the cost of one marker as $y$.

It is given that the cost of one pen is $\ \ 2.09$ so, the value of $x$ is as follows:

$\boxed{x=2.09}$

The cost of a pen is $\ \ 0.45$ less than the cost of one marker.

The expression which represent the cost of one marker is as follows:

$\boxed{x=y-0.45}$

To obtain the value of $y$ substitute $2.09$ in the above equation.

$\begin{aligned}2.09&=y-0.45\\y&=2.09+0.45\\y&=2.54\end{aligned}$

Therefore, the cost of one marker is $\ \ 2.54$.

It is given that Ken paid for one pen and one marker.

So, the total amount of money to be paid by Ken is calculated as follows:

$\begin{aligned}\text{Total bill}&=2.09+2.54\\&=4.63\end{aligned}$

Ken paid his bill by giving five dollar.

The amount of change to be received by Ken is calculated as follows:

$\begin{aligned}\text{Change}&=5-4.63\\&=0.37\end{aligned}$

From the above calculation it is concluded that the amount of money received by Ken is $\ \ 0.37$.

Figure 1 (attached in the end) represents a tape diagram in which section I represents the cost one pen, section II represents the cost of one marker and the section III represents the amount of change received by Ken.

Thus, the amount of money to be received by Ken is $\boxed{\bf \ \ 0.37}$.

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Subtraction

Keywords: Pen, marker, Ken, subtraction, simplification, $2.09, $0.45, five dollar bill, tape diagram, expression, change, money, calculate the change.