Concept explainers
To find: the mass of each steel ball
Answer to Problem 10P
The mass of each steel ball is
Explanation of Solution
Given information: “Dionne has six steel balls of equal mass”, “If she puts five of them in one pan of a beam balance and one ball and a 100 g mass in the other pan, the pans balance each other”
Concept Involved:
Assign variable for the unknown that we need to find.
Use the keywords in the statement to rewrite the statement to meaningful math equation.
“is” means =
“more than” means +
“three times” means 3×
Solve the equation by getting the variable in one side of the equation and undoing whatever is done to it by performing reverse operation.
Calculation: Assign variable for the unknown that we need to find
Let x represents the mass of each steel ball
Write an equation based on the given sentence which tells about mass in each pan of a balance. “Five balls with each ball having mass of x grams in left pan & one ball with mass of x gram and 100 in right pan in the balance”
In the process of getting x in one side of the equation subtract x on both sides
Combine like terms on both sides
Divide 4 on both sides of the equation
Simplify fraction on both sides of the equation
Conclusion:
The mass of each steel ball is
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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