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2 years ago

Josh has 4 times as many pears as leya, who has one half as many pears as amy. If josh has 32 pears how many does amy have?

Mathematics

2 answers:

arlik [135]2 years ago

6 0

<h3>The number of pears Amy has is 16.</h3>

Step-by-step explanation:

Let J represent the number of pears Josh has.

Let L represent the number of pears Leya has.

Let A represent the number of pears Amy has.

From the question given above,

Josh (J) = 4 × Leya (L)

J = 4L ....... (1)

Leya (L) = ½ × Amy (A)

L = ½A ........ (2)

Next, we shall determine the number of pears Leya has. This can be obtained as follow:

From equation 1

J = 4L

But

Josh (J) = 32 pears

Thus,

32 = 4L

Divide both side by 4

L = 32 / 4

<h3>Leya (L) = 8 pears </h3>

Finally, we shall determine the number pears Amy has. This can be obtained as follow:

From equation 2

L = ½A

But

Leya (L) = 8 pears

Thus,

8 = ½A

Cross multiply

A = 8 × 2

<h3>Amy (A) = 16 pears </h3>

Therefore, Amy has 16 pears.

Learn more: brainly.com/question/20971657

uranmaximum [27]2 years ago

4 0

Answer:

josh = 32

leya = 8

amy =4

Step-by-step explanation:

32 pears

Josh = 4l

leya = a/2

Amy = ?

L =8

A = 4

<u><em>Check answer: </em></u>

josh = 32

leya = 8

amy =4

Josh has 4 times as Leya True

Leya has half as many pears as Amy True

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Step-by-step explanation:

1) Move all terms to one side.

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2) Factor $2{x}^{3}-{x}^{2}-3x-210$ using Polynomial Division.

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$2x^{3} -x^{2} -3x-210$

2 - First, find all factors of the constant term 210.

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Substitute -3 into x. Since the result is not 0, x+3 is not a factor..

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Substitute 5 into x. Since the result is 0, x-5 is a factor..

$2\times {5}^{3}-{5}^{2}-3\times 5-210 =0$

------------------------------------------------------------------------------------------

⇒ $x-5$

4) Polynomial Division: Divide $2{x}^{3}-{x}^{2}-3x-210$ by $x-5$ .

$2x^{2}$ $9x$ $42$

-------------------------------------------------------------------------

$x-5$ | $2x^{3}$ $-x^{2}$ $-3x$ $-210$

$2x^{3}$ $-10x^{2}$

-----------------------------------------------------------------------

$9x^{2}$ $-3x$ $-210$

--------------------------------------------------------------------------

$42x$ $-210$

-------------------------------------------------------------------------

5) Rewrite the expression using the above.

$2x^2+9x+42$

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3 - Simplify.

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5) Collect all solutions from the previous steps.

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