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)

Question

Responses

6x+7y
6 x plus 7 y

8y+5x
8 y plus 5 x

6y+7x
6 y plus 7 x

8x+5y

Answer 1

To find the total amount Samuel spent at the farmers market on both days, we can break it down as follows:

First day:

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

Second day:

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

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

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