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Alistair Inc. shipped 32 packs of batteries to a retail store. Regular packs contain four batteries each, and super packs contain six batteries. A total of 166 batteries were shipped. How many regular packs were sent?

Respuesta :

absor201

Answer:

Number of regular packs sent = 13

Step-by-step explanation:

Let,

x be the number of regular packs shipped

y be the number of super packs shipped

According to given statement;

x+y=32     Eqn 1

4x+6y=166    Eqn 2

Multiplying Eqn 1 by 4

4(x+y=32)

4x+4y=128     Eqn 3

Subtracting Eqn 3 from Eqn 2

(4x+6y)-(4x+4y)=166-128

4x+6y-4x-4y=38

2y=38

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{38}{2}\\y=19[/tex]

Putting y=19 in Eqn 1

x+19=32

x=32-19

x= 13

Hence,

Number of regular packs sent = 13

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