Question

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Answer 1

Answer:

$\text{Solution:}\\\text{Let }\boxed{x}=\text{ number of boxes small shipped}\\\\\text{Let }\boxed{y}=\text{ number of large boxes shipped}\\\\\text{Given that the volume of one small box is 6 ft}^3, \text{ so,}\\\text{Volume of all small boxes shipped}=6x\text{ ft}^3\\\text{Similarly, Volume of all large boxes shipped = }15y \text{ ft}^3$

$\text{We also have, }\\\text{Total volume of all boxes = 243 ft}^3\\\text{or, }6x+15y=243\\\\\text{or, }\boxed{2x+5y=81}$

$\text{Also, Number of small boxes + 2 = Number of large boxes}\\\\\text{or, }\boxed{x+2=y}$