Question

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