At a farmers market, Samuel bought 3 pounds of apples for x dollars per pound and 2 bags of spinach for y dollars each. The next day he returned and bought 5 pounds of apples for x dollars per pound and 3 bags of spinach for y dollars each. Which expression represents the total amount he spent at the market on both days?(1 point)

Responses

8x+5y
8 x plus 5 y

6y+7x
6 y plus 7 x

8y+5x
8 y plus 5 x

6x+7y
6 x plus 7 y

1 answer

To find the total amount Samuel spent at the farmers market on both days, we can calculate the expenses for each day and then combine them.

On the first day:

  • He bought 3 pounds of apples at \( x \) dollars per pound: \[ 3x \]
  • He bought 2 bags of spinach at \( y \) dollars each: \[ 2y \]
  • Therefore, the total amount spent on the first day is: \[ 3x + 2y \]

On the second day:

  • He bought 5 pounds of apples at \( x \) dollars per pound: \[ 5x \]
  • He bought 3 bags of spinach at \( y \) dollars each: \[ 3y \]
  • Therefore, the total amount spent on the second day is: \[ 5x + 3y \]

Now, we add the total amounts spent on both days: \[ (3x + 2y) + (5x + 3y) = 3x + 5x + 2y + 3y = 8x + 5y \]

Thus, the total amount spent at the market on both days is represented by the expression: \[ \boxed{8x + 5y} \]