Spiders & Webs

Ameila, Fishy's grandniece, did her own nature study this summer while she was away from TSC Elementry at Fishy's mountain cabin. Searching the woods she found a variety of spider webs and found five different colored spiders: a red, a brown, a green, a black and a white one. For each spider she counted the threads in their web and found that the webs differed in number of threads from 48 to 82. She measured the expanse of the webs and found each to be a different width: 6 inches, 8 inches, 10 inches, 11 inches and 13 inches, rounded off to the nearest inch. And then after the spiders had abandoned the webs tested the strength of each web by putting small weights in the web until it broke. She found the strengths ranged from 6.8 grams to 10.7 grams. Can you match up the color of the spider to the number of threads in its web, the expanse of its web, and the strength of each web.

1) The green spider built the web that had a strength of 6.8 grams. The web with 82 threads had neither the widest nor the narrowest expanse. The brown spider's web had six more threads then the red spider's web. The black spider's web had more strength than the white spider's web but less strength than the brown spider's.

2) The web that stretched 13 inches had less strength than the black spider's web did, but the black spider's web had less strength than the web with 54 threads. The 8-inch web did not have 72 threads. The expanse of the white spider's web was greater than that of the black spider's web, but less than the green spider's. The web that had a strength of 9.1 grams was not the one with 54 threads.

Color Threads Expanse Strength




















3) The web with a strength of 10.7 grams had a greater expanse than the web with a strength of 9.1 grams, but less of an expanse than the web with a strength of 8.6 grams. There was a one or two- inch difference between the expanse of the brown spider's web and the expanse of the black spider's web in some order. The green spider had more threads in its web than the red spider but less than the spider with a 10-inch wide web.

4) There were 10 or less threads difference between the black spider's web and the white spider's web in some order. The expanse of the web with 82 threads was wider than the web with a strength of 9.1 grams, but less wide than the red spider's web. The 10-inch wide web is stronger than the web with 48 threads. The web with the 11-inch expanse has more threads than the web with a strength of 10.7 grams.

Solution

 

Dave's Logic Puzzles