Question

A store sells batteries in packets of 6 or 10. In stock they have 25 packets which contain a total of 186 batteries. How many of each packet size are in stock?

Answer 1

Let Packet of 6=x

Let Packet of 10=y

Total Packet=25

MEANS

x+y=25

x=25-y. (Equation 1)

Now Total Batteries.=186

1 packet =6 batteries

Total Batteries=Battery contain in 1 ×Total

=6x

1packet=10 Batteries

Total Batteries=Battery in 1 packet×Total packets.

=10y

Total=186

A/Q

6x+10y=186

6(25-y)+10y=186. (x=25-y)

150-6y+10y=186

150+4 y=186

4y=186-150

4y=36

y=36/4

y=9

Taking Equation 1

x=25-y

x=25-9

x=16

We know x is packet of 6=16

Y is Packet of 10=9

$\boxed{\mathbf{Packet\:of\:6=16}}$

$\boxed{\mathbf{Packet\:of\:10=9}}$