Respuesta :

Answer:

The amount that Lola has is $12

Step-by-step explanation:

Let

x ----the amount that Lola has

we know that

Two One-third multiplied by the amount that Lola has is equal to $28

so

[tex](2\frac{1}{3})x=28[/tex]

Convert mixed number to n improper fraction

[tex]2\frac{1}{3}=\frac{2*3+1}{3}=\frac{7}{3}[/tex]

substitute

[tex]\frac{7}{3}x=28[/tex]

Solve for x

[tex]x=28(3)/7\\x=\$12[/tex]

Lola has $12

[tex]\texttt{ }[/tex]

Further explanation

Let's learn about the basic formula about Profit and Loss

[tex]\texttt{Profit = Selling Price - Cost Price}[/tex]

[tex]\texttt{Selling Price = Cost Price ( 100\% + Profit\% )}[/tex]

[tex]\texttt{Loss = Cost Price - Selling Price}[/tex]

[tex]\texttt{Selling Price = Cost Price ( 100\% - Loss\% )}[/tex]

Let us tackle the problem !

[tex]\texttt{ }[/tex]

Mary-Ann has $28, which is 2¹/₃ as much money as Lola has.

[tex](\texttt{Mary - Ann's Money}) = 2 \frac{1}{3} \times (\texttt{Lola's Money})[/tex]

[tex]\$ 28 = 2 \frac{1}{3} \times (\texttt{Lola's Money})[/tex]

[tex](\texttt{Lola's Money}) = \$ 28 \div 2 \frac{1}{3}[/tex]

[tex](\texttt{Lola's Money}) = \$ 28 \div \frac{7}{3}[/tex]

[tex](\texttt{Lola's Money}) = \$ 28 \times \frac{3}{7}[/tex]

[tex](\texttt{Lola's Money}) = \$ 28 \times 3 \div 7[/tex]

[tex](\texttt{Lola's Money}) = \$ 84 \div 7[/tex]

[tex](\texttt{Lola's Money}) = \$ 12[/tex]

[tex]\texttt{ }[/tex]

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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces

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