Together they swam a total of 175 laps. Swimmer B swam 25 more than twice as many laps as Swimmer A.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Let we suppose that:

Swimmer A swam x laps
Swimmer B swam y laps.

Then, according to the given data, we have:

x + y = 175 laps

y = 25 + 2x (25 more than twice of laps of A is the number of laps of B).

Thus, we get a system of two equations as:

[tex]x + y = 175\\y = 25 + 2x\\[/tex]

From second equation, putting value of y in first equation, we get:

[tex]x + (25 + 2x) = 175\\3x + 25 = 175\\3x = 150\\\\x = \dfrac{150}{3} = 50 \: \rm laps[/tex]

As x is the number of laps Swimmer A swam, thus, the number of laps that Swimmer A swam was 50 laps.

Learn more about solving system of linear equations here:

https://brainly.com/question/13722693