Answer: 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
