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scoray [572]
2 years ago
7

An equal number of pieces of candy were given to children on Halloween. 30 pieces of candy were given out to boys. 48 pieces of

candy were given out to girls. What is the greatest number of pieces of candy given to each child?
Mathematics
1 answer:
scoray [572]2 years ago
4 0

Answer:

6 pieces of candy

Step-by-step explanation:

Since an equal number of pieces of candy were given to children on Halloween, and obviously, a different amount of boys and girls were present on Halloween. Since 30 pieces of candy were given out to boys and 48 were given out to girls, a certain amount of candy was given to some amount of boys to equal 30, and that same amount of candy was given to another amount of girls to equal 48. Since we are looking for the greatest number of pieces given to each child, we are looking for the greatest common divisor of 30 and 48, which is 6.

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5 0
3 years ago
A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.
skad [1K]

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

<u>GIVEN :-</u>

  • A man is 5 times as old as his son. (In Present)
  • 4 years ago , the man was 13 times as old as his son

<u>TO FIND :-</u>

  • The present ages of the man & his son.

<u>SOLUTION :-</u>

Let the present age of son be 'x'.

⇒ Present age of man = 5x

4 years ago ,

Age of son = (Present age of son) - 4 = x - 4

Age of man = (Present age of man) - 4 = 5x - 4

The man was thirteen times as old as his son. So,

=> 5x - 4 = 13(x - 4)

Now , solve the equation.

  • Open the brackets in R.H.S.

=> 5x - 4 = 13x - 52

  • Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.

=> 13x - 5x = 52 - 4

=> 8x = 48

  • Divide both the sides by 8

=> \frac{8x}{8} = \frac{48}{8}

=> x = 6

<u>CONCLUSION :-</u>

Age of son = 6 years

Age of man = 5×6 = 30 years

8 0
2 years ago
The current value of an investment is 25% more than its initial value. The increase in value is $10 million. What was the initia
katrin [286]
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7 0
3 years ago
What is equation of the line that passes through the point (-3,8) and has an undefined slope
aniked [119]

The equation of line that passes through point (-3, 8) and has an undefined slope is x = -3

<u>Solution:</u>

Given that we have to find the equation of line that passes through point (-3, 8) and has an undefined slope

Since the line has an undefined slope. This informs us that it is a vertical line parallel to the y-axis and passing through all points in the plane with the same x-coordinate.

If the slope of the line is undefined, then, by definition the line is a vertical line.

For a vertical line, the value of  x  is the same for each and every value of  y

Given point is (x, y) = (-3 , 8)

Because the value of  x  in the point provided in the problem is -3, we get

Equation of line is : x = -3

8 0
3 years ago
Toni is 30 inches less than twice Jordan's height. Toni is 66 inches tall. How tall is Jordan?
Ahat [919]

Answer:

96 inches

Step-by-step explanation:

66 + 30 = 96

5 0
2 years ago
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