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 $3,870. How many lower-priced speaker docks did it sell?

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joaobezerra joaobezerra · Answer 1 · 2022-09-14T04:16:42+02:00

Using a system of equations, it is found that it sold 27 lower-priced speaker docks.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

Last week the store sold three times as many lower-priced speaker docks as higher-priced speaker docks, hence:

x = 3y -> y = x/3.

Combined sales totaled $3,870, hence, considering the price of each speaker:

80x + 190y = 3870.

Since x = 3y:

240y + 190y = 3870.

430y = 3870

y = 3870/430

y = 9.

Hence:

x = 3y = 3 x 9 = 27.

It sold 27 lower-priced speaker docks.

More can be learned about a system of equations at https://brainly.com/question/24342899

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