Question

Zendaya runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zendaya made $55 from selling a total of 33 pounds of blueberries and grapes. Write a system of equations that could be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold. Define the variables that you use to write the system.

Answer 1

The number of pounds of blueberries and grapes sold are 11 and 22.

According to the statement

we have given that the:

Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25.

And total money collected by selling pounds is $55

And total number of pounds sells = 33

And we have to find the Number of pounds of blueberries and grapes.

Let the number of pounds of blueberries is X

And Let the number of pounds of grapes is Y

So,

The equation becomes is:

X + Y = 33  -(1)

2.50X + 1.25Y = 55  -(2)

Now, From substitution method

From (1) equation

Y = 33 - X

put these in equation (2) then

2.50X + 1.25(33 - X ) = 55

2.50X + 41.25 - 1.25X = 55

1.25X = 13.75

X = 11

and the the value of Y becomes

Y = 33 - X

Y = 33 - 11

Y = 22.

So, The number of pounds of blueberries and grapes sold are 11 and 22.

Learn more about substitution method here https://brainly.com/question/22340165

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