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PROBLEM SET Solve the following problems using inductive or deductive reasoning. Show your solutions. You may use any approach or strategy for as long as it is mathematically sound. 1. On a balance scale, two spools and one thimble balance eight buttons. Also, one spool balances one thimble and a button. How many buttons will balance one spool? 2. Every GOOP is a GORP. Half of all GORGS are GORPS. Half of all GORPS are GOOPS. There are 40 GORGS and 30 GOOPS. No GORG is a GOOP. How many GORPS are neither GOOPS nor GORGS?

PROBLEM SET Solve the following problems using inductive or deductive reasoning. Show your solutions. You may use any approach or strategy for as long as it is mathematically sound. 1. On a balance scale, two spools and one thimble balance eight buttons. Also, one spool balances one thimble and a button. How many buttons will balance one spool? 2. Every GOOP is a GORP. Half of all GORGS are GORPS. Half of all GORPS are GOOPS. There are 40 GORGS and 30 GOOPS. No GORG is a GOOP. How many GORPS are neither GOOPS nor GORGS?

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.6: Problem Solving: Using Charts
Problem 2P
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Answer 1-4 please. Thank you!

PROBLEM SET Solve the following problems using inductive or deductive reasoning. Show your solutions. You may use any approach or strategy for as long as it is mathematically sound. 1. On a balance scale, two spools and one thimble balance eight buttons. Also, one spool balances one thimble and a button. How many buttons will balance one spool? 2. Every GOOP is a GORP. Half of all GORGS are GORPS. Half of all GORPS are GOOPS. There are 40 GORGS and 30 GOOPS. No GORG is a GOOP. How many GORPS are neither GOOPS nor GORGS? 3. Solve the following cryptarithms. (A cryptarithm is a mathematical recreation in which the goal is to decipher an arithmetic problem in which letters have been substituted for single numerical digits.) НЕ НЕ а. b. SUN + FUN + HE SHE SWIM 4. How many squares of all sizes are in an 8 x 8 checkerboard? 5. Fill out the squares below with the appropriate numbers giving the required results in each cage. 3+ 3 33+ 4 1 3000х 1 4 4 2 1 3 3- 4 3 1 2 3/ 3 1 4 2
Transcribed Image Text:PROBLEM SET Solve the following problems using inductive or deductive reasoning. Show your solutions. You may use any approach or strategy for as long as it is mathematically sound. 1. On a balance scale, two spools and one thimble balance eight buttons. Also, one spool balances one thimble and a button. How many buttons will balance one spool? 2. Every GOOP is a GORP. Half of all GORGS are GORPS. Half of all GORPS are GOOPS. There are 40 GORGS and 30 GOOPS. No GORG is a GOOP. How many GORPS are neither GOOPS nor GORGS? 3. Solve the following cryptarithms. (A cryptarithm is a mathematical recreation in which the goal is to decipher an arithmetic problem in which letters have been substituted for single numerical digits.) НЕ НЕ а. b. SUN + FUN + HE SHE SWIM 4. How many squares of all sizes are in an 8 x 8 checkerboard? 5. Fill out the squares below with the appropriate numbers giving the required results in each cage. 3+ 3 33+ 4 1 3000х 1 4 4 2 1 3 3- 4 3 1 2 3/ 3 1 4 2
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