It takes Maya 30 minutes to solve 5 logic puzzles ,and it takes Amy 28 minutes to solve logic puzzles use models to show the rat
2 answers:
Answer:
Maya solve puzzle in 6 minutes per puzzle and Amy solves the puzzle in 7 minutes per puzzle.
Step-by-step explanation:
Given:
For Maya 5 puzzles = 30 minutes
For Amy 4 puzzles = 28 minutes
We need to find the rate at which student solve the puzzle in minutes per puzzle.
Solution:
First we will find the rate of Maya.
5 puzzles = 30 minutes
1 puzzle = Number of minutes for 1 puzzle
By Using Unitary method we get;
Number of minutes for 1 puzzle =
Hence Maya requires 6 minutes for 1 puzzle.
Now we will find the rate of Amy.
4 puzzles = 28 minutes
1 puzzle = Number of minutes for 1 puzzle
By Using Unitary method we get;
Number of minutes for 1 puzzle =
Hence Maya requires 7 minutes for 1 puzzle.
Hence We can say that Maya solve puzzle in 6 minutes per puzzle and Amy solves the puzzle in 7 minutes per puzzle.
It takes Maya 30 minutes to solve 5 logic puzzles and it takes Amy 28 minutes to solve 4 logic puzzles use models to show the rate at which each student solves the puzzles in minutes per puzzle
Answer:
Maya's rate to solve the puzzle = 6 min/puzzle
Ame's rate to solve the puzzle = 7 min/puzzle
Step-by-step explanation:
Let x be the rate of the each student to solve the puzzle.
Given:
Maya takes time to solve 5 logic puzzles = 30 min
Ame takes time to solve 4 logic puzzles = 28 min
We need to find the rate of each student to solve the puzzle.
Solution:
For Maya:
Maya takes 30 minutes to solve 5 logic puzzles.
Suppose Maya solves x puzzles in one minute.
As per given statement Maya solves puzzles in 30 minutes, So we may write the equation as:
Therefore, Maya solves each puzzles in 6 minutes.
For Ame:
Ame takes 28 minutes to solve 4 logic puzzles.
Suppose Ame solve x puzzles in one minute.
As per given statement Ame solve puzzles in 28 minutes, So we may write the equation as:
Therefore, Ame solves each puzzles in 7 minutes.
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You are close, but it is not the correct answer.
1 + 2k = 5k + 7
First, since we are trying to get the variable by itself, we need to move all things to one side. Let's subtract 1 from each side.
Second, we can now subtract (7 - 1) to get 6. Let's add that into our problem and then subtract 5 from each side, still trying to get the variable by itself.
Third, subtract (2k - 5k) to get -3k. Hint the negative symbol now. If the problem were switched the other way, it would still be a positive.
Fourth, we can now divide each side by -3. This results in a fraction and also getting the variable by itself on one side of the problem. Remember the negative sign in front of the fraction since (-3) carried it.
Fifth, this is our last step. We need to simplify the fraction. Since out fraction is 6/3, which number multiples by 3 to get the answer of 6? The answer is 2, since (3 × 2 = 6). Don't forget the negative!
Answer:
1 + 2k = 5k + 7
First, since we are trying to get the variable by itself, we need to move all things to one side. Let's subtract 1 from each side.
Second, we can now subtract (7 - 1) to get 6. Let's add that into our problem and then subtract 5 from each side, still trying to get the variable by itself.
Third, subtract (2k - 5k) to get -3k. Hint the negative symbol now. If the problem were switched the other way, it would still be a positive.
Fourth, we can now divide each side by -3. This results in a fraction and also getting the variable by itself on one side of the problem. Remember the negative sign in front of the fraction since (-3) carried it.
Fifth, this is our last step. We need to simplify the fraction. Since out fraction is 6/3, which number multiples by 3 to get the answer of 6? The answer is 2, since (3 × 2 = 6). Don't forget the negative!
Answer: