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SVEN [57.7K]
3 years ago
9

Mary needs to order pizza for 18 students. Each student should get 1/4 of the pizza. How much pizza will be left over?

Mathematics
1 answer:
Inessa [10]3 years ago
4 0

Answer:

Step-by-step explanation:

Answer:

Order 5 pizza's. There is  

1

2

a pizza left so someone gets an extra portion! Or it is split evenly!

Explanation:

No matter how you present this, the underlying principle is that of ratio.

If each pupil gets  

1

4

of a pizza the 1 pizza feeds 4 students.

So the ratio of  

pizza count

Student count

→

1

4

Need to have sufficient pizza for 18 students. The ratio will be constant so we have:

Let the count of pizzas be  

p

pizza count

Student count

=

1

4

=

p

18

So we now have:

 

p

18

=

1

4

Multiply both sides by  

18

giving:

18

×

p

18

=

1

4

×

18

18

18

×

p

=

18

4

But  

18

18

=

1

p

=

18

4

=

4

1

2

You can not order  

1

2

a pizza so the total pizza count is 5

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First, assign a variable that you're looking for.

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Which ordered pair is a solution of x-y=2 and <br> 3y-x=8
Leokris [45]

The ordered pair is a solution of x - y = 2 and  3y - x = 8 is (x, y) = (7, 5)

<h3><u>Solution:</u></h3>

Given two equations are:

x - y = 2 and 3y - x = 8

<em><u>To find: orderes pair i.e (x, y)</u></em>

Let us consider:

x - y = 2 ------- eqn 1

3y - x = 8 --------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "x" and "y"</u></em>

On rearranging eqn 2, we get

-x + 3y = 8 ------ eqn 3

Add eqn 1 and eqn 3

x - y = 2

-x + 3y = 8

(+) ---------------

0 + 2y = 10

2y = 10

<h3>y = 5</h3>

Therefore from eqn 1,

x - y = 2

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Thus the ordered pair to the given equations are (x, y) = (7, 5)

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