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balance scale spools, thimbles and buttons?

on a balance scale, two spools and one thimble balance eight buttons. Also, one spool balances one thimble and one button. How many buttons will balance one spool?i’m thinking the answer is 3 but i need help getting there and through the steps. thanks!
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Jakob Littel

Feb 20, 2025

s = spool, t = thimble, b = button(#1) 2s + 1t = 8b (#2) 1s = 1t + 1b (#1) 2s + 1t = 8b 1t = (8b – 2s) substitute in #2 (#2) 1s = 1t + 1b 1s = (8b – 2s) + 1b 1s = 9b – 2s 3s = 9b 1s = 3b So you were right all along. 🙂... Show More
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