3 boys shared a box of chocolate. The first boy got 3/8 of the total and the 2nd boy got 2/5 of the remainder and the 3rd boy got 9. How many chocolates were in the box and how many did the boy with the smallest share get?​

Answers

Answer 1

Answer:

1. there were 24 chocolates in the box at first.

2. the boy with the smallest share received 6 chocolates.

Explanation:

let's represent the number of chocolates in the box with 8x.

the first boy got ⅜ × 8x  = 3x chocolates. now, there are 8x - 3x = 5x chocolates remaining.

the second boy got ⅖ × 5x = 2x chocolates. now, there are 5x - 2x = 3x chocolates remaining.

3x = 9 chocolates

x = 3 chocolates

since the original number of chocolates was represented by 8x, we now know that there were 8 × 3 = 24 chocolates in the box at first.

the first boy got 9 chocolates, the second boy got 6 chocolates and the last boy got 9 chocolates. thus, the boy with the smallest share got 6 chocolates.

i hope this helps! :D


Related Questions

The best description of a dilation of a figure is?

Answers

Answer:

an enlargement or a reduction of the figure

a slide of the figure

a turning of the figure about some fixed point

a mirror image of the figure

The best description of a dilation of a figure is a slide of the figure.

What is dilation?

A dilation is a transformation that changes the size of a figure. It can become larger or smaller but the shape of the figure does not change.

Now,

The best description of a dilation of a figure is a slide of the figure.

Learn more about the dilation visit:

https://brainly.in/question/7119691

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Right answer gets brainlist right answer gets brainlist

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Answer:

There's no question.

Step-by-step explanation:

what is 5.951 to the hundred

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Answer:

5.95

Step-by-step explanation:

The answer to that question is 5.1000

how do you solve for exterior angle therom

Answers

Answer:

The interior angles of a triangle add to 180°:a + b + c = 180°

Angles c and d make a straight angle, which is 180°:d + c = 180°

So d + c equals a + b + c:d + c = a + b + c.

Subtract c from both sides:d = a + b.

Step-by-step explanation:

A DVD has a diameter of 12 centimeters. What is the area of the DVD? Round your answer to the nearest hundredth. Use 3.14 for π.

Answers

Answer:

area = 113.04 cm²

Step-by-step explanation:

radius = 12/2 = 6

area = πr² = 3.14(6²) = 113.04 cm²

Area= 113.04 is the answer

the perimeter of a rectangle is at least 74 cm the length of a rectangle is two more than four times the width of a rectangle what are the minimum dimensions of the rectangle​

Answers

Answer:

2W+2L=perimeter=74

Step-by-step explanation:

2W=74-2L

2(2W)+2(L/2)=76

substitute 74 - 2L for 2W in the last equation to solve for L. Put that value in the first equation to find W. Check by putting both values into the last equation.

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Answers

i cant see the image!

Ava brings a $20 bill to a store.She purchases 4 pairs of socks for $2.25 each and a new belt for $7.50.How much change will Ava receive when she pays for her clothes.

Answers

Answer:

3,50$

Step-by-step explanation:

(2,25 x 4) + 7,50 = 16,50$

20-16,50 = 3,50$

Help two questions only!!!!

Answers

Answer:

1) [tex]9^{2}=81[/tex]

2) [tex]7=log_{2}(128)[/tex]

Step-by-step explanation:

1)

We need to use the property of power and logarithms, particularly this:

[tex]a=x^{log_{x}(a)}[/tex] (1)

So, let's take take the exponent:

[tex]9^{log_{9}}(\frac{1}{81})=9^{-2}[/tex]

[tex]\frac{1}{81}=9^{-2}[/tex]

now, we can write the negavitve power as:

[tex]\frac{1}{81}=\frac{1}{9^{2}}[/tex]

So, the aswer will be:

[tex]9^{2}=81[/tex]

   

2)

Applying equation 1, let's take log in base 2 on each side of the equation

[tex]log_{2}(2^{7})=log_{2}(128)[/tex]

using the power definition in log, we have:

[tex]7log_{2}(2)=log_{2}(128)[/tex]

Therefore, the answer is:

[tex]7=log_{2}(128)[/tex]

I hope it helps you!

2x + 6
96
solve for x using an algebraic equation

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Answer:

v

Step-by-step explanation:

solve the equation :)

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12e=-12
e=-1 is the final answer

Is the number 0.1875 rational or irrational

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Can a triangle be formed with the following measurements?: 4 m, 5.1 m, 12.5 m

Answers

Answer:

no

Step-by-step explanation:

Hello There!

So in order for it to be a triangle the sum of the two shorter sides has to be greater than the longest side

4+5.1=9.1

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5. A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank? ​

Answers

Answer:

8 ft.

Step-by-step explanation:

V = Bh        B = area of the base           h = height

The base is a circle, so [tex]B = \pi r^{2}[/tex]

320π = [tex]\pi r^{2} (20) = 20\pi r^{2}[/tex]

[tex]r^{2} = \frac{320\pi }{20\pi } = 16[/tex]

r = 4

d = 8 ft.

We need help ASAP whatever you can do is fine please and thanks!!

Answers

Answer:

Angle 1: 130

Angle 3: 130

Angle 5: 50

Angle 6:  130

Step-by-step explanation:

If angle 2 is 50, that means 4,5, and 7 are 50 as well

Also, if we know angle 2 is 50, we know 1,3,8, and 6 are 130 since a line is always 180 (so subtract 50)

Let me know if you need more help!!

Which could be the measures of the interior angles of a triangle?

A. 50°, 45°, 45°

B. 60°, 60°, 60°

C. 70°, 70°, 70°

D. 80°, 55°, 25°

Answers

Answer:

B. 60°, 60°, 60°

Step-by-step explanation:

All triangle angles add up to 180

A) NOPE

50 + 45 + 45 = 140

B) YUP

60 + 60 + 60 = 180

C) NOPE

70 + 70 + 70 = 210

D) NOPE

80 + 55 + 25 = 160

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Answers

Answer:

145.12

Step-by-step explanation:

3.14 * 16 / 2 + 120

I basically got the same answer

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a) 96
b) 14
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Answers

(b) sixteen is the answer

Answer:

16 should come next

Step-by-step explanation:

First, determine the rule

N, decreases by 16. We know this because 80-64 is 16, 64-48 is 16, 48-32 is 16, and so forth.

Therefore, subtract 16 from 32 to receive 16

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Step-by-step explanation:

Given

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Hope it will help :)

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Step-by-step explanation:

[tex]x^{2} -x-6[/tex]

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Answer:

1. (x-3)(x+2)

2. (x-5)(x-3)

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THE OUTSIDERS CHAPTER 9 PLEASE ANYBODY

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Answer:

$900

Step-by-step explanation:

He makes $288 the first week and $612 the second week the total amount of money he makes is $900

Answer:

96*3= $288 from last week

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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