Dalvin runs a farm stand that sells strawberries and blueberries. Each pound of strawberries sells for $2 and each pound of blueberries sells for $3.50. Dalvin sold twice as many pounds of blueberries as pounds of strawberries and he made $225 altogether. Write a system of equations that could be used to determine the number of pounds of strawberries sold and the number of pounds of blueberries sold. Define the variables that you use to write the system.

Respuesta :

The number of blueberries sold is 30 and the number of strawberries sold is 60.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say Dalvin sold S pounds of strawberries and b pounds of blueberries.

Given that,

Cost of each pound of strawberries = $2

The cost of s pound of strawberries will be 2s.

Cost of each pound of blueberries= $3.50

The cost of b pound of blueberries will be 3.5b

Total cost 2s + 3.5b = 225(given)

And,

s = 2b (given)

Now,

By substitution

4b + 3.5b = 225 ⇒ b = 30

And again substitution

s = 2(30) = 60

Hence "The number of blueberries sold is 30 and the number of strawberries sold is 60".

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