Divide 102 dollars among 3 boys. A,B, and C, so that A gets twice as much as B and C gets 1 1/2 times as much as A. How much does each boy get?

Answers

Answer 1

Answer:

Boy A gets $34, boy B gets $17 and boy C gets $51 and this can be determined by forming the linear equation and by using the arithmetic operations.

Given :

Total Amount = $102
Total number of boys = 3
A gets twice as much as B and C gets 1.5 times as much as A.

It is given that A gets twice as much as B, that is:

A = 2B

$\rm 0.5 A = B$ ----- (1)

It is also given that C gets 1.5 times as much as A, that is:

$\rm C = 1.5 A$ ------ (2)

Given that the total amount is $102, that is:

A + B + C = 102 --- (3)

Now, put the value of B and C in equation (3).

$\rm A+0.5A+1.5A = 102$

3A = 102

A = $34

Now, put the value of A in equations (1) and (2).

$\rm B = 0.5* 34$

B = $17

$\rm C = 1.5* 34$

C = $51

Boy A gets $34, boy B gets $17 and boy C gets $51.

For more information, refer to the link given below:

brainly.com/question/17921485

Answer 2

Answer: B=x
A=2x
C=2x*1.5=3x

6x=102
x=17

A=34
B=17
C=51

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(1 pt) The conservation club has 32 members. There are 18 girls in the club. What is the ratio of girls to boys in simplest form?

Answers

how many boys are there? there are 32-18=14 boys! (check: 14+18=32; correct).

So the ratio of girls to boys is 18 to 14, or 18:14

both number are even, let's divide them by 2:

9:7

now they don't have any more factors in common so the answer is 9:7!

Answer:

9;7

Step-by-step explanation:

How to reduce the fraction 16/24

Answers

To reduce the fraction in its simplest form...first find the greatest common factor of the numerator and the denominator..so in this case is 8.

Now lets divide the numerator by the GMF;
16 ÷ 8 = 2
Next the denominator;
24 ÷ 8 = 3

So $(16)/(24) = (2)/(3)$
Hope this helps! :D

First divide by 2 to both top and bottom which is 8/12. Then divide by 2 again which is 4/6. Finally, divide by 2 again which is 2/3.

Is 0.9x + 6 greater than, less than or equal to 1.3x - 9

Answers

Answer:

0.9x + 6 < 1.3x - 9

Step-by-step explanation:

Solving for x for both equations

0.9x + 6=0

X = -6/0.9

=-0.0667

1.3x - 9= 0

X = 9/1.3

=6.9

Therefore, 0.9x + 6 < 1.3x - 9

Answer:

Greater than

Step-by-step explanation:

Matt Considers whether or not the amount of time students study for a test and the grade on the test are related. He determines that the more they study the higher grade they will get. What type of slope would the line of best fit have? A) negative
B) positive
C) undefined
D) zero

Answers

Answer:

The answer is positive

hope this helps please mark me the brainliest

the answer would be positive

What is the value of the expression?2/3 - (1/4) x (4/9)

A. - 5/9
B. - 1/6
C. 1/6
D. 5/9

Answers

$= (2)/(3) - (1)/(4) ( (4)/(9) ) \n \n =(2)/(3) - (1)/(9) = \n \n = (5)/(9)$

Tell which metric unit you would probably use to measure each item 1.height of shade tree
2.weight of one-cent coin
3.a teardrop
4.weight of teaspoon
Metric units are
Kilo,Hecto,Deca,base unit (meters,grams,liters),deci,centi,mili
PLEASE ONLY ANSWER IF YOU ARE AWARE OF CORRECT ANSWER THANK-YOU

Answers

1. height of a shade = meters
2. milligrams
3.milliliter
4. grams

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