Rachel took a two-day road trip last weekend. She drove 65 miles less on sunday than she did on saturday. If twice the miles driven on sunday is 373 more than the number of miles driven on saturday, how many did she drive each day?

Rachel drove 503 miles on Saturday and 438 miles on Sunday

Solution:

Rachel drove 65 miles less on sunday than she did on saturday

Let x be the number of miles Rachel drove on Saturday

Let, x - 65 be the number of miles she drove on Sunday

Twice the miles driven on sunday is 373 more than the number of miles driven on saturday

Twice the miles driven on sunday = 373 + number of miles driven on saturday

2 (x - 65) = 373 + x

Solve the above expression for "x"

2x - 130 = 373 + x

2x - x = 373 + 130

x = 503

Thus, x - 65 = 503 - 65 = 438

Thus, Rachel drove 503 miles on Saturday and 438 miles on Sunday