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Anastasy [175]
3 years ago
5

amanda, bryan, and colin are in a book club. amanda reads twice as many books as bryan per month and colin reads 4 fewer than 3

times as many books as bryan in a month. in 4 months the number of books amanda reads is equal to 5/8 the sum of the number of books bryan and colin read in 4 months. how many books does each person read each month?
Mathematics
1 answer:
lesya [120]3 years ago
4 0
Please see below solution:
Let x = number of books that Bryan reads2x  for amanda = Amanda 3x - 4 for Colin  Amanda = 5/8(Bryan + Colin)2x = 5/8(x+3x-4)2x = 5/8(4x-4)

[16x = 5(4x-4)]816x = 20x - 20Subtract 20x from each side-4x =-20-4x/-4= -20/-4 divide -4 to eliminate the -4 in -4xx = 5
Therefore:
Bryan reads 5 books a month.
Since Amanda reads twice as many books a Bryan read so Amanda 10 books a month. 
And Colin 11 books a month. 3(5) - 4 = 11
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Please Elijah and Aubrey have summer jobs Elijah deposits the same amount of money in his account every week the equation is y =
Anika [276]

Answer:

Part a) y=125x+23

Part b) The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance

Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.

Step-by-step explanation:

<u><em>The correct question is</em></u>

Elijah and Aubrey have summer jobs. Elijah deposits the same

amount of money in his account every week. The equation y = 125x + 72 represents his bank balance any given week of the summer. Aubrey also deposits the same amount into her account every week. At the end of the third week she has $398. At the end of the sixth week she has $773.

a. Write an equation to represent Aubrey's bank balance any given week of the summer.

b. Would the graph of the equation for Aubrey's balance be parallel to the graph of Elijah's balance? Explain.

c. What do the parallel graphs mean in terms of the situation?

Part a)

Let

x ----> the number of weeks  

y ----> represent bank's balance

we know that

<em>Elijah</em>

y=125x+72 -----> equation A

<em>Aubrey</em>

we have the points

(3,398) and (6,773)

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m=(773-398)/(6-3)

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we have

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point\ (3,398)

substitute

y-398=125(x-3) ----> equation in point slope form

Convert to slope intercept form

y=mx+b

y-398=125x-375

y=125x-375+398

y=125x+23 ----> Aubrey's bank balance

Part b)

Compare the equations

y=125x+72 ----> Elija's bank balance

y=125x+23 ----> Aubrey's bank balance

Remember that

If two lines are parallel, then their slopes are equal

In this problem the slopes are equal

m=125\frac{\$}{week}

therefore

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Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.

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