Write a system of equations to describe the situation. Do not solve the system.
-An order of 4 orders of fries, 3 hamburgers, and 5 drinks costs $15. An order of 4 orders of fries, 3 hamburgers, and 2 drinks costs $12. All drinks are $1.
A) $\left\{ \begin{array} { l }
4 x + 3 y + 5 = 10 \
4 x + 3 y + 2 = 10
\end{array} \right.$
B) $\left\{ \begin{array} { l }
4 x + 3 y + 5 = 15 \
4 x + 3 y + 2 = 12
\end{array} \right.$
C) $\left\{ \begin{array} { l }
( 4 x ) ( 3 y ) + 5 = 15 \
( 4 x ) ( 3 y ) + 2 = 12
\end{array} \right.$
D) $\left\{ \begin{array} { l }
4 x + 3 y + 1 = 15 \
4 x + 3 y + 1 = 12
\end{array} \right.$

Question

Write a system of equations to describe the situation. Do not solve the system.
-An order of 4 orders of fries, 3 hamburgers, and 5 drinks costs $15. An order of 4 orders of fries, 3 hamburgers, and 2 drinks costs $12. All drinks are $1.
A) $\left\{ \begin{array} { l } 
4 x + 3 y + 5 = 10 \
4 x + 3 y + 2 = 10
\end{array} \right.$
B) $\left\{ \begin{array} { l } 
4 x + 3 y + 5 = 15 \
4 x + 3 y + 2 = 12
\end{array} \right.$
C) $\left\{ \begin{array} { l } 
( 4 x ) ( 3 y ) + 5 = 15 \
( 4 x ) ( 3 y ) + 2 = 12
\end{array} \right.$
D) $\left\{ \begin{array} { l } 
4 x + 3 y + 1 = 15 \
4 x + 3 y + 1 = 12
\end{array} \right.$

Quizplus · Accepted Answer

The correct system of equations must account for the cost of fries (x), hamburgers (y), and drinks, with the drinks costing $1 each. The total cost of the orders is given, so the equations should directly reflect the cost structure provided in the problem. Option B correctly represents the given situation, with the first equation for the order costing $15 and the second for the order costing $12, including the cost of drinks.

Write a System of Equations to Describe the Situation {4x+3y+5=104x+3y+2=10\left\{ \begin{array} { l } 4 x + 3 y + 5 = 10 \\4 x + 3 y + 2 = 10\end{array} \right.{4x+3y+5=104x+3y+2=10​

Write a System of Equations to Describe the Situation $\left\{ \begin{array} { l } 4 x + 3 y + 5 = 10 \\4 x + 3 y + 2 = 10\end{array} \right.$