Convert a word problem into a system of linear equations - High school Algebra II Exercises

Which system of linear equations is the best translation of the following word problems?

Let x be the price of an apple and y be the price of an orange. Paul buys 12 apples and 5 oranges for a total of $4.60. Marie buys 5 apples and 8 oranges for a total of $3.10.

\begin{cases} 12x+5y=4.6 \cr \cr 5x+8y=3.1 \end{cases}

\begin{cases} 12x+12y=4.6 \cr \cr 5x+5y=3.1 \end{cases}

\begin{cases} 5x+5y=4.6 \cr \cr 8x+8y=3.1 \end{cases}

\begin{cases} 12x+5y=3.1 \cr \cr 5x+8y=4.6 \end{cases}

Let x be the price of a gallon of gasoline and y be the price of a gallon of diesel fuel. Joe buys 5 gallons of gasoline and 15 gallons of diesel fuel for a total of $50.30. Lala buys 15 gallons of gasoline and 5 gallons of diesel for a total of $45.60.

\begin{cases} -5x+15y=45.60 \cr \cr -5x+15y=45.60 \end{cases}

\begin{cases} -15x-5y=50.30 \cr \cr 15x+5y=45.60 \end{cases}

\begin{cases} 5x+15y=50.30 \cr \cr 15x+5y=45.60 \end{cases}

\begin{cases} 15x+5y=50.30 \cr \cr 5x+15y=45.60 \end{cases}

Let x be the price of one pound of beef and y be the price of one pound of chicken. Hisland buys 7 pounds of beef and 3 pounds of chicken for a total of $20. Ranny buys 18 pounds of beef and 12 pounds of chicken for a total of $35.

\begin{cases} 7x-3y=20 \cr \cr 18x-12y=35 \end{cases}

\begin{cases} 7x+3y=20 \cr \cr 12x+18y=35 \end{cases}

\begin{cases} 3x+7y=20 \cr \cr 18x+12y=35 \end{cases}

\begin{cases} 7x+3y=20 \cr \cr 18x+12y=35 \end{cases}

Let x be the price of one pound of horse feed and y be the price of one pound of chicken feed. Harvey buys 20 pounds of horse feed and 5 pounds of chicken feed for a total of $75. Dina buys 10 pounds of horse feed and 12 pounds of chicken feed for a total of $45.

\begin{cases} 5x+20y=75 \cr \cr 10x+12y=45 \end{cases}

\begin{cases} 20x+5y=75 \cr \cr 10x+12y=45 \end{cases}

\begin{cases} 20x+5y=75 \cr \cr 12x+10y=45 \end{cases}

\begin{cases} 20x+5y=45 \cr \cr 10x+12y=75 \end{cases}

Let x be the price of a banana and y be the price of a kiwi fruit. Layla buys 8 bananas and 5 kiwi fruits for a total of $10.60. Apik buys 7 bananas and 12 kiwi fruits for a total of $12.50.

\begin{cases} 8x+5y=10.60 \cr \cr 12x+7y=12.50 \end{cases}

\begin{cases} 5x+8y=10.60 \cr \cr 7x+12y=12.50 \end{cases}

\begin{cases} 8x+5y=12.50 \cr \cr 7x+12y=10.60 \end{cases}

\begin{cases} 8x+5y=10.60 \cr \cr 7x+12y=12.50 \end{cases}

Let x be the price of a gallon of gasoline and y be the price of a gallon of diesel fuel. Josh buys 2 gallons of gasoline and 20 gallons of diesel fuel for a total $60. Tammy buys 20 gallons of gasoline and 0 gallons of diesel for a total of $50.

\begin{cases} 2x+20y=60 \cr \cr 20x=50 \end{cases}

\begin{cases} 2x+20y=60 \cr \cr 20y=50 \end{cases}

\begin{cases} 2x+20y=50 \cr \cr 20x=60 \end{cases}

\begin{cases} 20x+2y=60 \cr \cr 20x=50 \end{cases}

Let x be the price of one pound of horse feed and y be the price of one pound of chicken feed. Drew buys 20 pounds of horse feed and 5 pounds of chicken feed for a total of $50. Dana buys 5 pounds of horse feed and 6 pounds of chicken feed for a total of $29.

\begin{cases} 5x+20y=50 \cr \cr 5x+6y=29 \end{cases}

\begin{cases} 20x+5y=29 \cr \cr 5x+6y=50 \end{cases}

\begin{cases} 20x+5y=50 \cr \cr 5x+6y=29 \end{cases}

\begin{cases} 20x+5y=50 \cr \cr 6x+5y=29 \end{cases}