Answer:
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