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: $$\boxed{{\displaystyle 7x+5y}}.$$