Question

A factory has two assembly lines, X and Y, that make the same product. On Monday, only assembly line X was working, and it made 2200 units of product. On Tuesday, both assembly lines were functioning for the same amount of time. Line X made 250 products per hour and line Y made 350 products per hour. Line Y made as many products on Tuesday as line X did over both days. Write an equation that can be used to find the number of hours, h, that the assembly lines were working on

Tuesday.

Answer 1

The equation to find the number of hours, h, that the assembly lines worked on Tuesday is 2200 + 250h = 350h, where the left side represents the total production from Line X over two days, and the right side represents Line Y's production on Tuesday.

Step-by-step explanation:

The student is asking to create an equation to solve for the number of hours, h, that two assembly lines worked on Tuesday, given Line X's total production over two days is equal to Line Y's production on Tuesday alone. To do this, we need to account for Line X's production on Monday and Tuesday combined, and set that equal to Line Y's production on Tuesday.

Assembly line X produced 2200 units on Monday and 250 units per hour on Tuesday. Let h represent the number of hours both lines worked on Tuesday. The total production of line X over both days is 2200 (Monday) + 250h (Tuesday). Line Y produced 350 units per hour, so its total production on Tuesday is 350h. Thus, the equation is 2200 + 250h = 350h.