Nine boys share 4 pizzas equally. what fraction of a pizza does each boy get?

Mathematics

2 answers:

Aleks04 [339]3 years ago

8 0

Your answer would be 2 and 1/4 because when you divide 9 and 4 you get that.

nevsk [136]3 years ago

4 0

Answer:

4/9th fraction of pizza each boy will get.

Step-by-step explanation:

It is given that there are 4 pizzas to be distributed equally among 9 boys.

So by unitary method we can calculate the fraction of pizza each boy will get.

∵ 9 boys get the pizza = 4

∴ 1 boy gets the pizza = 4/9

Therefore we can say that each boy gets 4/9th part of the pizza which is the final answer.

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A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$