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Answer:
<u>There are 270 longs</u>
Step-by-step explanation:
<u>Equations</u>
We must write the problem into a mathematical model that allows us to apply the properties of basic algebra and solve for the variable which must be adequately set up.
We have three unknowns: the number of long blocks, flats blocks, and cubes. The conditions are given:
- There are three times as many longs as cubes
- There are 30 fewer flats than longs.
- There are 600 blocks in all
For the equation to be easier solved, let's set the variable as the number of cubes:
x = number of cubes
Considering the first condition, we have
3x = number of longs
3x-30 = number of flats
And finally:
Joining like terms:
Solving for x
Therefore, there are 3x = 3*(90) = 270 longs
Answer: there are 270 longs