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Morgarella [4.7K]
3 years ago
15

This year Benny is 12 years old his brother Lenny's age is 175% of his age how old is Lenny

Mathematics
1 answer:
Svetllana [295]3 years ago
4 0
To find Lenny's age just multiply Benny's age with 1.75. Because 175% = 1.75.

Answer: 12x1.75= 21 years old.
Lenny's age is 21 years old.
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3. Solve the following application of a system of linear equations.
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Answer:

Equations:

y =  14 + 9 x --- Cindy

y = 10 x --- Ruben

Solution to equation:

Time they have the same amount: 14 minutes

Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

Existing\ Flashcards = 14

Additional = 9 per minute

Total number of flashcards (y) in x minutes is:

y =  Existing\ Flashcards + Additional * x

y =  14 + 9 * x

y =  14 + 9 x

Ruben:

Rate = 10 per minute

Total number of flashcards (y) in x minutes is:

y = Rate * x

y = 10 * x

y = 10 x

Solution to Equations:

Time they have the same amount.

To do this, we equate both expressions

i.e.

10x = 14 + 9x

Collect Like Terms

10x - 9x = 14

x = 14

Number of cards they have at that time.

Here, we simply substitute 14 for x in any of the equations.

y = 10 x

y = 10 * 14

y = 140

or

y =  14 + 9 x

y = 14 + 9 * 14

y = 14 + 126

y = 140

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