This pool can be packed with unit cubes, each 1 cubic foot in volume: 50 unit cubes
along its length, 25 unit cubes along its
0width, and 5 unit cubes along its height.
The volume of the pool can be found using
the equation V = (50 x 25) 5. Which is
another equation that can be used to find
the volume?
5 ft

First part of the question:

Let x be the number of small boxes and y be the number of large boxes.

According to the first statement, a total of 24 boxes were shipped

=> x+y=24 ---- (Eq.1)

=> x = 24-y --- (Eq.2)

According to 2nd statement, Total weight was 1410 and we know the weight of one small box is 45 and large box is 75.

Therefore,

45x+75y=1410 --- (Eq.3)

Now, using the substitution method for solving the equation,

From equation 1,

Now putting Eq. 3 values,

Now putting value of y in Eq.2,

Therefore,

Number of small boxes shipped=x=13

Number of large boxes shipped=y=12

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Second part of question:

Define the variables that you use to write the system.

Ans:

x is used as a variable to show the number of small boxes.

y is used as a variable to show the number of large boxes.