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