a company produces and sells widgets and gizmos. in january the company sold 350 items for a total of…

a company produces and sells widgets and gizmos. in january the company sold 350 items for a total of $9,000. if each widget sold for $35, and each gizmo sold for $22, how many of each item did the company sell? let $x_1$ = the number of widgets sold and $x_2$ = the number of gizmos sold. write an equation relating the number of each item sold to the total number sold. $x_1 + x_2 = 350$ complete write an equation modeling the revenue generated: $\\_\\_\\_x_1+\\_\\_\\_x_2 = 9,000$ done

a company produces and sells widgets and gizmos. in january the company sold 350 items for a total of $9,000. if each widget sold for $35, and each gizmo sold for $22, how many of each item did the company sell? let $x_1$ = the number of widgets sold and $x_2$ = the number of gizmos sold. write an equation relating the number of each item sold to the total number sold. $x_1 + x_2 = 350$ complete write an equation modeling the revenue generated: $\\_\\_\\_x_1+\\_\\_\\_x_2 = 9,000$ done

Answer

Explanation:

Step1: Determine revenue - widget part

Since each widget sells for $35 and $x_1$ is the number of widgets sold, the revenue from widgets is $35x_1$.

Step2: Determine revenue - gizmo part

Since each gizmo sells for $22 and $x_2$ is the number of gizmos sold, the revenue from gizmos is $22x_2$.

Step3: Write revenue - total equation

The total revenue is $9000$, so the equation is $35x_1 + 22x_2=9000$.

Answer:

$35x_1 + 22x_2 = 9000$