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: $x_1 + x_2 = 350$. write an equation modeling the revenue generated: $\\_\\_\\_x_1+\\_\\_\\_x_2 = 9,000$.

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: $x_1 + x_2 = 350$. write an equation modeling the revenue generated: $\\_\\_\\_x_1+\\_\\_\\_x_2 = 9,000$.

Answer

Explanation:

Step1: Determine coefficient for $x_1$

Each widget sells for $35, so coefficient of $x_1$ in revenue - equation is 35. $35$

Step2: Determine coefficient for $x_2$

Each gizmo sells for $22, so coefficient of $x_2$ in revenue - equation is 22. $22$

Answer:

$35x_1 + 22x_2=9000$