On a 750 mile road trip thelma drove 110 miles more than Louise how far did each person drive?

Louise drove 320 miles and Thelma drove 430 miles

Step-by-step explanation:

Assume that Louise drove x mile

∵ Louise drove x miles

∵ Thelma drove 110 miles more than Louise

- Add 110 to x to find Thelma's miles

∴ Thelma drove x + 110 miles

∵ The road trip is 750 miles

- Add x and (x + 110) and equate the sum by 750

∴ x + (x + 110) = 750

- Add the like term in the left hand side

∴ 2x + 110 = 750

- Subtract 110 from both sides

∴ 2x = 640

- Divide both sides by 2

∴ x = 320

∵ x represents the number of miles that Louise drove

∴ Louise drove 320 miles

∵ x + 110 represents the number of miles that Thelma drove

∴ Thelma drove (320 + 110)

∴ Thelma drove 430 miles