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goldfiish [28.3K]
3 years ago
12

Alice, Ben and Carol shared a sum of money they received. Alice received 1/5 of the money. The rest of the money was divided bet

ween Ben and Carol in the ratio 1:3. If Carol received $6 more than Alice, how much money did Ben receive?
Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

$3

Step-by-step explanation:

The money shared by Ben and Carol was split ...

... Ben : Carol = 1 : 3

The difference of these ratio numbers is 2, and the difference in amount received is $6. Thus, each ratio unit must stand for $6/2 = $3.

... Ben received 1×$3 = $3

_____

<em>The Rest of the Story</em>

Carol received 3×$3 = $9. Together, Ben and Carol received $3 + 9 = $12, which is 4/5 of the total amount. Then the 1/5 of the total amount that Alice received is

... (1/5)×$12/(4/5) = (1/4)×$12 = $3.

The $15 of money was split ...

... Alice : Ben : Carol = $3 : $3 : $9

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A fruit company delivers its fruit in two types of boxes: large and small. Delivery of 8 large boxes and 4 small boxes has a tot
erma4kov [3.2K]

Answer:

x = 18.5 (large) , y = 6.25 (small)

Step-by-step explanation:

Let's start by assigning variables to each type of box.

The large box we will call "x"

The small box we will call "y"

We know that 8x + 4y = 173 (kilograms)

And 3x + 2y = 68 (kilograms)

Since we set up a system of equations, we can now use elimination, by multiplying the entire bottom equation by -2, to get rid of the "y" variable.

8x + 4y = 173

3x(-2) + 2y(-2) = 68(-2)

-6x + -4y = -136  (side note: notice how the "y"'s would cancel each other out because -4y + 4y equals 0)

Add equations together:

2x = 37

x= 18.5

Now that we have x, just substitute it into any of the equations to get y.

You will see that y = 6.25

Please mark this brainliest, and I hope this helps!

5 0
2 years ago
Please help extra points URGENT
arsen [322]

Answer: The correct answer is Choice D.

Step-by-step explanation: The correct answer is choice D.

Y = the total amount money that Kelly earned

X = the cost of each manicure

So, in choice D, the total amount that Kelly earned equals 12 times the cost of the manicure plus the 60 in tips that she received for the day.

7 0
3 years ago
What is<br><br> Log 10 100<br><br> Or what can I do
11Alexandr11 [23.1K]
Log_10 100 is the same as 10 to the x power is 100
10^x=100
10^2=100
the answer is 2
8 0
3 years ago
Consider the equation x+4=−2x+19. Let f(x)=x+4and g(x)=−2x+19. The graph of each function is shown. Coordinate plane with the gr
Svetach [21]

The point of intersection of both graphs will have the coordinate (5, 9).

<h3>What is the Point of Intersection of the Graph?</h3>

We are given the functions;

f(x) = x + 4

g(x) = -2x + 19

Now, the point of intersection of both graphs is when both functions are equal which is at f(x) = g(x). Thus;

x + 4 = -2x + 19

x + 2x = 19 - 4

3x = 15

x = 15/3

x = 5

Thus;

f(x) = 5 + 4 = 9

g(x) = -2(5) + 19 = 9

Thus, the point of intersection of both graphs will have the coordinate (5, 9)

Read more about Graph Intersection at; brainly.com/question/11337174

#SPJ1

4 0
1 year ago
Write as an imporper fractor.5 3/5
Neporo4naja [7]
5 3/5 as an improper fraction is 28/5. 

I hope this is helpful! :D
5 0
3 years ago
Read 2 more answers
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