Calorie count of a one-eighth of pie

Question

Using the calorie count of one-eighth of a 9-in. pie, we find that the number of calories in a piece of pecan pie is 221 less than twice the number of calories in a piece of lemon meringue pie. If one eats a piece of each, a total of 865 calories is consumed. How many calories are there in each piece of pie? Please include a check method.

Answer 1

x is the lemon meringue

the pecan pie has 2x-221

the total is

x + 2x-221 = 865

3x - 221 = 865

3x = 1086

x = 362

2x-221 = 2(362)-221 = 724-221 = 503

check

362+503 = 865