10(a) Lower Limit of Number of Cups

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10/23/2025

Problem

A big bottle of water contains 10 L of water, correct to the nearest 100 mL. It is used to fill water cups so that each cup is filled with 140 mL of water, correct to the nearest 10 mL. Find the lower limit of the number of cups that can be filled this way.

Solution

Hints:

Convert units: 10 \\text{ L} = 10000 \\text{ mL}. Lower limit of bottle = 10000 - 50 = 9950 \\text{ mL}. Upper limit of cup = 140 + 5 = 145 \\text{ mL}. Lower limit of cups = \\lfloor \\frac{9950}{145} \\rfloor \\approx 68.62, so 70 cups.

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measurement

division