At a farmers market, Samuel bought 3 pounds of apples for x dollars per pound and 2 bags of spinach for y dollars each. The next day he returned and bought 5 pounds of apples for x dollars per pound and 3 bags of spinach for y dollars each. Which expression represents the total amount he spent at the market on both days?

Respuesta :

Final expression: [tex]8x+5y[/tex]

Step-by-step explanation:

- During the first day, Samuel buys :

3 pounds of apples for x dollars per pound +

2 bags of spinach for y dollars each

So the amount spent in the first day can be written as

[tex]3x+2y[/tex]

- During the second day, Samuel buys:

5 pounds of apples for x dollars per pound +

3 bags of spinach for y dollars each

So the amount spend in the 2nd days is

[tex]5x+3y[/tex]

Therefore the total amount spent is

[tex](3x+2y)+(5x+3y)[/tex]

And adding the similar terms, we get the final expression:

[tex](3x+5x)+(2y+3y)=\\8x+5y[/tex]

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