Scratching The Surface
Much of the earth’s crust is made of rock. All rocks are made of minerals. Some rocks are made of several minerals, while others are made of just one kind of mineral.

One way that minerals are identified is by their hardness. Diamond is the hardest mineral; talc is the softest. To determine the hardness of a mineral, a scratch test is used. The mineral can then be identified using the Mohs Hardness Scale shown below. Each mineral on the scale can scratch any mineral that has a lower number than it on the Hardness Scale.

Hardness Number Scratch Test Mineral
1 Fingernail scratches it easily Talc
2 Fingernail barely scratches it Gypsum
3 Copper penny just scratches it Calcite
4 Steel knife scratches it easily Flourite
5 Steel knife barely scratches it Apatite
6 Scratches glass easily Feldspar
7 Scratches steel & glass easily Quartz
8 Scratches all other common minerals Topaz
9 Scratches topaz Corundum
10 Hardest mineral Diamond

Amanda enjoys collecting rocks and minerals. Among the samples in her mineral collection are Quartz, Gypsum, Diamond, Fluorite, and Topaz. One day, Amanda accidentally dropped the small tray that she used to display these five minerals. When she dropped the tray, the labels for the samples got mixed up. To figure out which sample was which mineral, she devised an experiment. She labeled the rocks A, B, C, D, and E, and tested the minerals to see which samples scratched which other samples. She recorded the following results:

Mineral A scratches mineral D but not C.
Mineral C scratches mineral E but not B.
Mineral E scratches mineral D but not A.

Can you help Amanda figure out which sample is which mineral?





 
Bonus Question
What does a dishonest mineral salesman do to his clients?