Question

Target sells AAA batteries for $1.10 and AA batteries for $0.50. They sold 350 total batteries earning a total of $560. How many AAA batteries did target sell?

Answer 1

This is not possible because the selling of number of AA batteries cannot be negative.

Explanation:

Let us assume that the number of AAA batteries sells be x .

Let us assume that the number of AA batteries sells be y.

As given

Target sells AAA batteries for $1.10 and AA batteries for $0.50. They sold 350 total batteries earning a total of $560.

Equations becomes

x + y = 350

1.10x + 0.50y = 560

Simplify the above equation

`(110x)/(100) + (50y)/(100) = 560`

110x + 50y = 56000

Two equations becomes

x + y = 350

110x + 50y = 56000

Multiply x + y = 350 by 50 and subtracted from 110x + 50y = 56000 .

110x - 50x + 50y - 50y = 56000 - 17500

60x = 38500

`x = (38500)/(60)`

x = 641 .6 (Approx)

Put this value in the equation x + y = 350 .

641.6 + y = 350

y = 350 - 641.6

y = -291.6

This is not possible because the selling of number of AA batteries cannot be negative.