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

Answer 1

3 L + 2 F = 400 ... multiplying by 2 ... 6 L + 4 F = 800

2 L + 3 F = 425 ... multiplying by 3 ... 6 L + 9 F = 1275

subtracting equations (to eliminate L) ... 5 F = 475

solve for F , then substitute back to find L