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

4y+8x
4 y plus 8 x

7x+5y
7 x plus 5 y

7y+5x
7 y plus 5 x

4x+8y
4 x plus 8 y

Answer 1

To calculate the total amount Samuel spent at the market on both days, let's break down his purchases:

1. On the first day:

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

2. On the second day:

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

Now, let's add both amounts to find the total he spent on both days:

\[ \text{Total} = (x + 3y) + (6x + 2y) = x + 6x + 3y + 2y = 7x + 5y \]

Thus, the expression that represents the total amount he spent at the market on both days is:

7x + 5y