Question

An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $190 and the lower-priced speaker dock sells for $80. Last week the store sold three times as many lower-priced speaker docks as higher-priced speaker docks. Combined sales totaled $3,440. How many of each did it sell?

Answer 1

Answer:

8 higher-priced speaker and 24 lower-priced speaker docks are sold.

Step-by-step explanation:

Let x be the no. of  higher-priced speaker sold

We are given that the store sold three times as many lower-priced speaker docks as higher-priced speaker docks.

So,  the no. of lower-priced speaker sold = 3x

Cost of 1 higher-priced speaker dock = $190

Cost of x higher-priced speaker dock = $190x

Cost of 1 lower-priced speaker dock = $80

Cost of 3x lower-priced speaker dock = $80(3x)=$240x

So, total cost = 190x+240x=430x

We are given that Combined sales totaled $3,440.

So, $430 x = 3440$

$x = \frac{3440}{430}$

$x =8$

So,The no. of higher-priced speaker sold is 8

The no. of lower-priced speaker sold = 3x = 3(8) =24

Hence 8 higher-priced speaker and 24 lower-priced speaker docks are sold.

Answer 2

$190x +80(3x) = 3440$
x represents how many are sold. then multiply 80×3
$80 \times 3 = 240$
then add your x together
$190x + 240x = 430x$
then you must divide your x by 3440
$3440 \div 430 = 8$
8 is how many higher-priced speakers take you 8 and multiple it by 3 to get how many lower-priced speakers
$8 \times 3 = 24$
you have 24 low priced speaker and 8 high priced speakers.