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3 years ago

He Brought 10 packages of AA and AAA batteries for a total of 72 batteries.

Mathematics

1 answer:

Studentka2010 [4]3 years ago

3 0

Answer:

4 packages of AA batteries

6 packages of AAA batteries.

Step-by-step explanation:

Let the number of packages of AA batteries bought be x

Let

the number of packages of AAA batteries bought be Y

He Brought 10 packages of AA and AAA

thus,

x+y = 10 equation 1

Given

The AA batteries are sold in packages of 6, it means one packet contains 6 batteries

Thus,

Total number of AA batteries in x packages = 6x

The AAA batteries are sold in packages of 8, it means one packet contains 8 batteries

Thus,

Total number of AAA batteries in y packages = 8y

Given total no. of batteries is 72

thus

6x + 8y = 72 equation 2

x+y = 10

y = 10-x ---using this in equation 2

6x + 8(10 - x) = 72

=> 6x + 80 - 8x = 72

=> -2x = 72-80 = -8

=> x = -8/-2 = 4

y = 10 -x = 10 -4 = 6

y = 6

Thus,

he bought 4 packages of AA batteries

6 packages of AAA batteries.

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