AI Tutor
Back to Describing the Solution Set

Exercise 20

Avg difficulty 3.0

In air a gold-surfaced sphere weighs 75887588 grams. It is known that it may contain one or more of the metals aluminum, copper, silver, or lead. When weighed successively under standard conditions in water, benzene, alcohol, and glycerin its respective weights are 65886588, 66886688, 67786778, and 63286328 grams. How much, if any, of the forenamed metals does it contain if the specific gravities of the designated substances are taken to be as follows?

Aluminum 2.72.7 Alcohol 0.81
Copper 8.98.9 Benzene 0.900.90
Gold 19.319.3 Glycerin 1.261.26
Lead 11.311.3 Water 1.001.00
Silver 10.810.8

Hefferon, Linear Algebra, Linear Systems, Describing the Solution Set, Exercise 20

AI Tutor

Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.