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

7y+5x
7 y plus 5 x

4x+8y
4 x plus 8 y

4y+8x
4 y plus 8 x

7x+5y

Answer 1

To determine the total amount Samuel spent at the farmers market over both days, we need to analyze his purchases.

First day:

• He bought 1 pound of apples for \(x\) dollars per pound: \(1 \times x = x\) dollars.
• He bought 3 bags of spinach for \(y\) dollars each: \(3 \times y = 3y\) dollars.
• Total spent on the first day: \(x + 3y\).

Second day:

• He bought 6 pounds of apples for \(x\) dollars per pound: \(6 \times x = 6x\) dollars.
• He bought 2 bags of spinach for \(y\) dollars each: \(2 \times y = 2y\) dollars.
• Total spent on the second day: \(6x + 2y\).

Total spent over both days:

• Combine both totals: \[ (x + 3y) + (6x + 2y) = (x + 6x) + (3y + 2y) = 7x + 5y. \]

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