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Marina CMI [18]
2 years ago
12

Father gave each of his children one-twelfth of a cake. Then he ate the remaining one-third of the cake. How many children does

Father have?

Mathematics
2 answers:
Hunter-Best [27]2 years ago
7 0

Answer:

<em>the father has 8 children</em>

Step-by-step explanation:

The cake = 1 whole = 12/12 = 3/3

If the father ate 1/3 of the cake, we know that 2/3 of the cake was divided amongst his children

How many 1/12's can fit into 2/3?

  • (2/3) / (1/12) --> (2/3) x (12/1) = (24/3) = 8

If 8 1/12-pieces can fit into 2/3 of a cake, <em>the father has 8 children</em>.

Ber [7]2 years ago
7 0

\bold{\huge{\red{\underline{ Solution 1 }}}}

<h3><u>Given </u><u>:</u><u>-</u></h3>

  • <u>Father </u><u>have </u><u>each </u><u>of </u><u>his </u><u>children </u><u>1</u><u>/</u><u>1</u><u>2</u><u>t</u><u>h</u><u> </u><u>of </u><u>a </u><u>cake </u>
  • <u>He</u><u> </u><u>ate </u><u>the </u><u>remaining </u><u>1</u><u>/</u><u>3</u><u>r</u><u>d</u><u> </u><u>of </u><u>the </u><u>cake</u><u>.</u>

<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>number </u><u>of </u><u>children </u><u>father </u><u>have</u><u>? </u>

<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>

Let the total children be x

<u>According </u><u>to </u><u>the </u><u>question</u><u>, </u>

Children ate 1/12th portion of the cake that is

One child will got

\sf{=}{\sf{\dfrac{ x}{12}}}

The remaining 1/3 of the cake had eaten by father

<u>So, </u>

Total portion of cake = 1

<h3><u>Therefore</u><u>, </u></h3>

\sf{\dfrac{x}{12}}{\sf{ + }}{\sf{\dfrac{ 1}{3}}}{\sf{ = 1}}

\sf{\dfrac{ x + 4}{12 }}{\sf{ = 1 }}

\sf{ x + 4 = 1 × 12 }

\sf{ x + 4 = 12}

\sf{ x  = 12 - 4 }

\sf{ x = 8  }

Hence, The total children does father have is 8 .

\bold{\huge{\red{\underline{ Solution 2 }}}}

<h3><u>Given </u><u>:</u><u>-</u></h3>

  • <u>Lisa </u><u>watch </u><u>is </u><u>1</u><u>5</u><u> </u><u>minute </u><u>slow </u>
  • <u>Mike's </u><u>watch </u><u>is </u><u>2</u><u>5</u><u> </u><u>minute </u><u>fast </u>
  • <u>The </u><u>present </u><u>time </u><u>showing </u><u>by </u><u>Lisa </u><u>watch </u><u>is </u><u>9</u><u>:</u><u>4</u><u>3</u><u> </u>

<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>present </u><u>time </u><u>shown </u><u>by </u><u>mike's </u><u>watch</u><u>. </u>

<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>

Let the present time be x

<u>According </u><u>to </u><u>the </u><u>question</u><u>, </u>

  • Lisa watch is 15 minutes slow and present time shown by Lisa watch is 9:43

<h3><u>Therefore</u><u>, </u></h3>

\sf{ x - 0:15 = 9 : 43 }

\sf{ x  = 9 : 43 + 0:15 }

\sf{ x  = 9 : 43 + 0:15 }

\sf{ x  = 9 : 58 }

Hence, The present time is 9:58

<h3><u>Now, </u></h3>

  • Mike watch is 25 minutes fast

<h3><u>Therefore, </u></h3>

Present time shown by mike's watch

\sf{ = x + 0:25 }

\sf{ = 9:58 + 0:25 }

\sf{ = 10:23}

Hence, The present time shown by mike's watch is 10:23

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<h3>Volume of solid object</h3>

The given objects are composite figures consisting of two shapes.

The volume of the blue figure is expressed as;

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