Respuesta :

SociometricStar

Answer:

9

Step-by-step explanation:

Let the number of 10 battery packets is x

and the number of 6 packets battery is y

Now, it has been given that store has a stock of 25 packets. It means

[tex]x+y=25\\y=25-x.......(1)[/tex]

Also, the number of batteries are 186. Thus, the equation is

[tex]10x+6y=186[/tex]

Plugging the value of y from equation 1,

[tex]10x+6(25-x)=186\\\\10x+150-6x=186\\\\4x=36\\\\x=9[/tex]

Hence, there are 9 ten-battery packets.

mixter17

Hello!

The answer is: There are 9 packets of 10-battery packets.

Why?

Let's make the calculations:

Let y b the 6-battery packet and z be the 10-battery packet.

We must construct the following to equations using the statement information: There is a stock of 25 packets and there is a total of 186 batteries formed by 6-battery packets and 10-battery packers

So, the first equation will be:

[tex]y + z = 25[/tex]

The second equation will be:

[tex]6y+10z=186[/tex]

From the first equation we have:

[tex]y=25-z[/tex]

Substituting y in the second equation we have:

[tex]6(25-z)+10z=186\\6(25-z)=186-10z\\150-6z=186-10z\\10z-6z=186-150\\4z=36\\z=\frac{36}{4}=9[/tex]

So, there are 9 packets of 10-battery packets.

By substituting z in the first equation we will know the number of 6-battery packets in stock

[tex]y=25-9=16[/tex]

So, there are 16 packets of 6-battery packets.

Have a nice day!

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