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 8y+5x 8 y plus 5 x 8x+5y 8 x plus 5 y 6y+7x 6 y plus 7 x 6x+7y

Answer 1

To find the total amount Samuel spent at the farmers market on both days, we can break down his purchases.

First day:

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

Second day:

• Samuel bought 5 pounds of apples at \( x \) dollars per pound. The cost for apples on the second day is \( 5x \) dollars.
• He also bought 3 bags of spinach at \( y \) dollars each. The cost for spinach on the second day is \( 3y \) dollars.
• Thus, the total cost for the second day is: \[ 5x + 3y \]

Total amount spent on both days: To find the total amount spent over both days, we add the costs from both days together: \[ (3x + 2y) + (5x + 3y) = 3x + 5x + 2y + 3y = 8x + 5y \]

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