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5. there are pouches of marbles. some pouches have 25 marbles. some pouches have 10 marbles, some have 5 marbles, and some have 1 marble. you must pick eactly 13 pouches such that the total number of marbles in these 13 pouches is 100. what combination of pouches you would pick?

Respuesta :

contexto1019

The order of the combination of the pouches is

1 pouch of 25 marbles

7 pouches of 10 marbles

5 pouches of 1 marbles

This question can be solved by using theoretical analysis

Firstly consider,

We can collect 100 marbles in

4 pouches if we consider 25 marbles pouches

10 pouches if we consider 10 marbles pouches

20 pouches if we consider 5 marbles pouches

100 pouches if we consider 1 marble pouches

But We need 100 marbles in 13 pouches

So first we take a pouch of 25 marbles

Now

Number of marbles we need is 100 - 25=75

Numbers of bags else we need to pick is 13- 12= 1

Now,

We can take

3 pouches if we consider 25 marbles pouches (don’t reach the limit of 13 pouches)

7 pouches if we consider 10 marbles pouches (5 remaining)

15 pouches if we consider 5 marbles pouches (exceeds the limit of 13 pouches)

75 pouches if we consider 1 marble pouches (exceeds the limit of 13 pouches)

So, If we take 7 pouches of 10 marbles we can easily collect 70 marbles in 7 pouches

Number of marbles we need is 75- 70= 5

Numbers of bags else we need to pick is 12 - 7= 5

So,

Now we need to pick 5 marbles in 5 pouches

We can take,

1 pouches if we consider 5 marbles pouches (do not reach the limit of 13 pouches)

5 pouches if we consider 1 marble pouches (exactly 13 pouches)

So, If we take 5 pouches of 1 marble we can easily collect 5 marbles in 5 pouches

Number of marbles we need is 5 -5 = 0

Numbers of bags else we need to pick is  5 -5 = 0

A similar combination  problem is given at

brainly.com/question/16456343

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