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?(1 point)

Question

Responses

4x+8y
4 x plus 8 y

7x+5y
7 x plus 5 y

7y+5x
7 y plus 5 x

4y+8x

Answer 1

To determine the total amount Samuel spent at the farmers market over both days, we can break down his purchases:

Day 1:

• He bought 1 pound of apples at \( x \) dollars per pound: \( 1x = x \)
• He bought 3 bags of spinach at \( y \) dollars each: \( 3y \)

The total spent on Day 1: \[ x + 3y \]

Day 2:

• He bought 6 pounds of apples at \( x \) dollars per pound: \( 6x \)
• He bought 2 bags of spinach at \( y \) dollars each: \( 2y \)

The total spent on Day 2: \[ 6x + 2y \]

Total Amount Spent: Now, summing the amounts spent on both days: \[ (x + 3y) + (6x + 2y) \]

Combine like terms: \[ x + 6x + 3y + 2y = 7x + 5y \]

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

So the correct response is: 7x + 5y