Answer:
6 paintings
Step-by-step explanation:
we know that
1) First day
The first day he sells 1/4th of the total
[tex]\frac{1}{4}(64)=16[/tex]
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
[tex]\frac{1}{2}(48)=24[/tex]
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
[tex]\frac{1}{2}(24)=12[/tex]
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
[tex]\frac{1}{2}(12)=6[/tex]
so
Sell 6 paintings
Remaining=12-6=6 paintings
Mark left 6 paintings after four days of selling his paintings.
Order of Operations in Mathematics follow this following rule :
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 !
[tex]\texttt{ }[/tex]
Mark has 64 paintings.
Let: Initial Number of Mark's Paintings = x
The first day he sells 1/4 th of them
[tex]\texttt{Number of Paintings Left} = ( 1 - \frac{1}{4} ) \times x = \frac{3}{4}x[/tex]
[tex]\texttt{ }[/tex]
The second day he sells one-half of the paintings he started the day with
[tex]\texttt{Number of Paintings Left} = ( 1 - \frac{1}{2} ) \times \frac{3}{4}x = \frac{3}{8}x[/tex]
[tex]\texttt{ }[/tex]
The third day he sells one-half of the paintings he started the day with
[tex]\texttt{Number of Paintings Left} = ( 1 - \frac{1}{2} ) \times \frac{3}{8}x = \frac{3}{16}x[/tex]
[tex]\texttt{ }[/tex]
The fourth day he sells one-half of the paintings he started the day with
[tex]\texttt{Number of Paintings Left} = ( 1 - \frac{1}{2} ) \times \frac{3}{16}x = \frac{3}{32}x[/tex]
[tex]\texttt{Number of Paintings Left} = \frac{3}{32} \times 64[/tex]
[tex]\texttt{Number of Paintings Left} = 3 \times 2[/tex]
[tex]\texttt{Number of Paintings Left} = 6[/tex]
[tex]\texttt{ }[/tex]
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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