Dominic runs a farm stand that sells peaches and grapes yesterday Dominic sold 34 pounds of peaches and 45 lb of grapes for a total venue of $192.25 today he sold 47 pounds of peaches in 16 lb of grapes for a total revenue of $208 write a system of equations that could be used to determine the price of each pound A peaches and the price of each pound of grapes and Define the variables that use to write the system ​

Respuesta :

Answer:34p+16g=208

47p+16g=208

Step-by-step explanation:

Let p=the price of each pound of peaches.

Let g=the price of each pound of grapes.

Each pound of peaches sells for $p, so 34 pounds of peaches will bring in 34p dollars. Each pound of grapes will bring in 45g dollars. Therefore, the total amount 34p+45g=192.25

Likewise, if 47 pounds of peaches and 16 pounds of grapes brought in $208 then

47p+16g=208

34p+45g=192.25

47+16g=208

The system of equations that could be used to determine the price of each pound A peaches and the price of each pound of grapes is 34p + 45g = 192.25 and 47p + 16g = 208

Let the pound of peaches be represented by p

Let the pound of grapes be represented by g

Therefore, based on the information that are given in the question, the equation will be:

34p + 45g = 192.25

47p + 16g = 208

In conclusion, the equation will be 34p + 45g = 192.25 and 47p + 16g = 208.

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