Question

Mark has 64 paintings. The first day he sells 1/4th of them, then on each day after that, he sells one-half of the paintings he started the day with. How many paintings does Mark have left after four days of selling his paintings?

Answer 1

Answer:

6 paintings

Step-by-step explanation:

we know that

1) First day

The first day he sells 1/4th of the total

$\frac{1}{4}(64)=16$

so

Sell 16 paintings

Remaining=64-16=48 painting

2) Second day

He sells one-half of the paintings he started the day with

He started the day with 48 painting

$\frac{1}{2}(48)=24$

so

Sell 24 paintings

Remaining=48-24=24 paintings

3) Third day

He sells one-half of the paintings he started the day with

He started the day with 24 paintings

$\frac{1}{2}(24)=12$

so

Sell 12 paintings

Remaining=24-12=12 paintings

4) Fourth day

He sells one-half of the paintings he started the day with

He started the day with 12 paintings

$\frac{1}{2}(12)=6$

so

Sell 6 paintings

Remaining=12-6=6 paintings

Answer 2

Mark left 6 paintings after four days of selling his paintings.

Further explanation

Order of Operations in Mathematics follow this following rule :

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

$\texttt{ }$

Mark has 64 paintings.

Let: Initial Number of Mark's Paintings = x

The first day he sells 1/4 th of them

$\texttt{Number of Paintings Left} = ( 1 - \frac{1}{4} ) \times x = \frac{3}{4}x$

$\texttt{ }$

The second day he sells one-half of the paintings he started the day with

$\texttt{Number of Paintings Left} = ( 1 - \frac{1}{2} ) \times \frac{3}{4}x = \frac{3}{8}x$

$\texttt{ }$

The third day he sells one-half of the paintings he started the day with

$\texttt{Number of Paintings Left} = ( 1 - \frac{1}{2} ) \times \frac{3}{8}x = \frac{3}{16}x$

$\texttt{ }$

The fourth day he sells one-half of the paintings he started the day with

$\texttt{Number of Paintings Left} = ( 1 - \frac{1}{2} ) \times \frac{3}{16}x = \frac{3}{32}x$

$\texttt{Number of Paintings Left} = \frac{3}{32} \times 64$

$\texttt{Number of Paintings Left} = 3 \times 2$

$\texttt{Number of Paintings Left} = 6$

$\texttt{ }$

Learn more

• Infinite Number of Solutions : brainly.com/question/5450548
• System of Equations : brainly.com/question/1995493
• System of Linear equations : brainly.com/question/3291576

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

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