At a farmers market, Samuel bought 3 pounds of apples for%C2%A0x%C2%A0dollars per pound and 2 bags of spinach for%C2%A0y%C2%A0dollars each. The next day he returned and bought 5 pounds of apples for%C2%A0x%C2%A0dollars per pound and 3 bags of spinach for%C2%A0y%C2%A0dollars each. Which expression represents the total amount he spent at the market on both days?(1 point) Responses 6x+7y 6 x plus 7 y 8x+5y 8 x plus 5 y 8y+5x 8 y plus 5 x 6y+7x

1 answer

To calculate the total amount Samuel spent at the farmers market on both days, we can break down the purchases made on each day.

First Day:

  • He bought 3 pounds of apples at \( x \) dollars per pound, so he spent \( 3x \) dollars on apples.
  • He also bought 2 bags of spinach at \( y \) dollars each, so he spent \( 2y \) dollars on spinach.
  • Total spent on the first day: \[ 3x + 2y \]

Second Day:

  • He bought 5 pounds of apples at \( x \) dollars per pound, so he spent \( 5x \) dollars on apples.
  • He also bought 3 bags of spinach at \( y \) dollars each, so he spent \( 3y \) dollars on spinach.
  • Total spent on the second day: \[ 5x + 3y \]

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

So, the expression that represents the total amount he spent at the market on both days is: \[ \boxed{8x + 5y} \]