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 x1 = the number of widgets sold and x2 = the number of gizmos sold. write an equation relating the number of each item sold to the total number sold: x1 + x2 = write an equation modeling the revenue generated: x1+ x2 = 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 x1 = the number of widgets sold and x2 = the number of gizmos sold. write an equation relating the number of each item sold to the total number sold: x1 + x2 = write an equation modeling the revenue generated: x1+ x2 = 9,000

Answer

Explanation:

Step1: Determine total - item equation

The company sold a total of 350 items. If $x_1$ is the number of widgets and $x_2$ is the number of gizmos, then the sum of the number of widgets and gizmos sold is equal to the total number of items sold. So the equation is $x_1 + x_2=350$.

Step2: Determine revenue - generating equation

Each widget sells for $35 and each gizmo sells for $22, and the total revenue is $9000. The revenue from widgets is $35x_1$ and the revenue from gizmos is $22x_2$. So the revenue - generating equation is $35x_1+22x_2 = 9000$.

Answer:

For the first blank: 350 For the second blank: 35 For the third blank: 22