At a farmers market, Samuel bought 1 pounds of apples for x dollars per pound and 3 bags of spinach for y dollars each. The next day, he returned and bought 6 pounds of apples for x dollars per pound and 2 bags of spinach for y dollars each. Which expression represents the total amount he spent at the market on both days?

Question

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(1 point)
Responses

4x+8y
4 x plus 8 y

4y+8x
4 y plus 8 x

7x+5y
7 x plus 5 y

7y+5x

Answer 1

To determine the total amount Samuel spent at the market on both days, we will calculate the costs for each day separately and then add them together.

On the first day:

• Samuel bought 1 pound of apples for \( x \) dollars per pound, which costs \( 1 \cdot x = x \) dollars.
• He also bought 3 bags of spinach for \( y \) dollars each, which costs \( 3 \cdot y = 3y \) dollars.

Total spent on the first day: \[ x + 3y \]

On the second day:

• Samuel bought 6 pounds of apples for \( x \) dollars per pound, which costs \( 6 \cdot x = 6x \) dollars.
• He also bought 2 bags of spinach for \( y \) dollars each, which costs \( 2 \cdot y = 2y \) dollars.

Total spent on the second day: \[ 6x + 2y \]

Now, we add the total spent on both days: \[ (x + 3y) + (6x + 2y) = x + 6x + 3y + 2y = 7x + 5y \]

Thus, the expression that represents the total amount he spent at the market on both days is: \[ \boxed{7x + 5y} \]