Thomas paid $4.25 for three apples and four oranges. Five apples and two oranges cost Casey $4.75. Let x represent the number of apples and y represent the number of oranges. Which system of equations represents this situation? A $~3x+4y=4.75~$ $~5x+2y=4.25~$ B 3x+4y=4.25 5x+2y=4.75 C 4x+3y=4.75 2x+5y=4.25 D 4x+3y=4.25 2x+5y=4.75

Respuesta :

Answer:

B

Step-by-step explanation:

For the given situation, system of equations is represented by

3x + 4y = 4.25

5x + 2y = 4.75

What is system of equations?

"A system of equations is a finite set of equations for which we find the common solution."

According to question,

x represents number of apples

y represents number of oranges.

Two situations are given for which we need to find out which system of equations it represents.

Situation 1 : Thomas paid $4.25 for the three apples and four oranges , which can be represented by equation:

3x + 4y = 4.25

Situation 2: Casey paid $4.75 for five apples and two oranges, which can be represented by equation:

5x + 2y = 4.75

Hence we can conclude that Option B is correct.

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