Jim has a triangular shelf system that attaches to his showerhead. The total height of the system is 18 inches, and there are three parallel shelves as shown above. What is the maximum height, in inches, of a shampoo bottle that can stand upright on the middle shelf?

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Solution

Here, $x + 3 x + 2 x = 18$ inches
$=> 6 x = 18$
$=> x = 3$ inches
Maximum height of a shampoo bottle that can stand upright on the middle shelf $= 3 x = 3 \times 3 = 9$ inches

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Jim has a triangular shelf system that attaches to his showerhead. The total height of the system is 18 inches, and there are three parallel shelves as shown above. What is the maximum height, in inches, of a shampoo bottle that can stand upright on the middle shelf?

Here, x+3x+2x=18 inches=>6x=18=>x=3 inches Maximum height of a shampoo bottle that can stand upright on the middle shelf =3x=3×3=9 inches

Here, $x + 3 x + 2 x = 18$ inches
$=> 6 x = 18$
$=> x = 3$ inches
Maximum height of a shampoo bottle that can stand upright on the middle shelf $= 3 x = 3 \times 3 = 9$ inches