Question

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 rate at which each student solves the puzzle ,in minutes per puzzle ? Explain

Answer 1

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

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
`(5x)` puzzles in 30 minutes, So we may write the equation as:

`5x = 30`

`x = (30)/(5)`

`x = 6\ min/puzzle`

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
`(4x)` puzzles in 28 minutes, So we may write the equation as:

`4x = 28`

`x = (28)/(4)`

`x = 7\ min/puzzle`

Therefore, Ame solves each puzzles in 7 minutes.

Answer 2

Maya solve puzzle in 6 minutes per puzzle and Amy solves the puzzle in 7 minutes per puzzle.

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 =
`(30)/(5)=6\ mins`

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 =
`(28)/(4)=7\ mins`

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.