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

6y+7x
6 y plus 7 x

8x+5y
8 x plus 5 y

8y+5x
8 y plus 5 x

6x+7y

Answer 1

To find the total amount Samuel spent at the market on both days, we need to calculate the cost for each day separately and then add them together.

Day 1:

• Samuel bought 3 pounds of apples at \(x\) dollars per pound, so the cost of apples is: \[ 3x \]
• He also bought 2 bags of spinach at \(y\) dollars each, so the cost of spinach is: \[ 2y \]
• Therefore, the total amount spent on Day 1 is: \[ 3x + 2y \]

Day 2:

• Samuel bought 5 pounds of apples at \(x\) dollars per pound, so the cost of apples is: \[ 5x \]
• He also bought 3 bags of spinach at \(y\) dollars each, so the cost of spinach is: \[ 3y \]
• Therefore, the total amount spent on Day 2 is: \[ 5x + 3y \]

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

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