Three lemon cremes plus two fudge cookies have 400 calories. two lemon cremes plus three fudge cookies have 425 calories. how many calories are in each kind of cookie?

lemon cremes contain 70 calories. fudge cookies contains 95 calories

Step-by-step explanation:

Let x represent the amount of calories in lemon cremes.

Let y represent the amount of calories in fudge cookies.

Three lemon cremes plus two fudge cookies have 400 calories. This means that

3x + 2y = 400 - - - - - -- - - - -1

Two lemon cremes plus three fudge cookies have 425 calories. This means that

2x + 3y = 425- - - - -- - - - - - 2

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x + 4y = 800

6x +9y = 1275

Subtracting,

-5y = - 475

y = - 475/- 5

y = 95

Substituting y = 95 into equation 1, it becomes

3x + 2×95 = 400

3x = 400 - 190 = 210

x = 210/3 = 70

x = 70