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1) On a simple pan balance, 3 apples and 1 banana exactly balance 10 plums. Also, 1 apple and 6 plums balance 1 banana. How many plums will balance one banana?

1) On a simple pan balance, 3 apples and 1 banana exactly balance 10 plums. Also, 1 apple and 6 plums balance 1 banana. How many plums will balance one banana?

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 14P
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Please answer theese questions showing work!! thank you so muchh!
Name Section Date Systems of Equations Word Problems - Challenge 1) On a simple pan balance, 3 apples and 1 banana exactly balance 10 plums. Also, 1 apple and 6 plums balance 1 banana. How many plums will balance one banana? 2) Does the equation 2x + 6y = 35 have any solutions where both x and y are whole numbers? Why or why not? Todd has 48 words to spell for a puzzle. As an incentive, his mother offers to pay him 10 cents 3) for each word he spells correct, if Todd will pay her 6 cents for every word he spells incorrectly. If Todd makes $1.92, how many words does he spell correctly? 4) The diagrams show some equations of mass among spheres, cubes, cylinders, and cones. What is the least number of objects that will balance the final scale?
Transcribed Image Text:Name Section Date Systems of Equations Word Problems - Challenge 1) On a simple pan balance, 3 apples and 1 banana exactly balance 10 plums. Also, 1 apple and 6 plums balance 1 banana. How many plums will balance one banana? 2) Does the equation 2x + 6y = 35 have any solutions where both x and y are whole numbers? Why or why not? Todd has 48 words to spell for a puzzle. As an incentive, his mother offers to pay him 10 cents 3) for each word he spells correct, if Todd will pay her 6 cents for every word he spells incorrectly. If Todd makes $1.92, how many words does he spell correctly? 4) The diagrams show some equations of mass among spheres, cubes, cylinders, and cones. What is the least number of objects that will balance the final scale?
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