Answer:
For x=7 and y=9 Caleb and Eva will meet again. That is, Caleb will have made 7 labs and Eva 9 labs.
Step-by-step explanation:
In order to find the number of labs that Caleb and Eva must complete, to meet again at the start, you can use the following equation:
[tex]18x=14y[/tex] (1)
where x is the number of labs made by Caleb and y the number of labs made by Eva. The equation (1) means that for the specific values of x and y, Caleb and Eva will spend the same amount of minutes on the labs.
Then, you need to find the least integers values of x and y.
First, you solve the equation (1) for y:
[tex]y=\frac{18}{14}x[/tex] (2)
By inspection you can find that the least value of x that makes possible that y is an integer, is 7
In fact, you have:
[tex]y=\frac{18}{14}(7)=9[/tex]
Hence, for x=7 and y=9 Caleb and Eva will meet again. That is, Caleb will have made 7 labs and Eva 9 labs.
