A fruit company delivers fruits => 3 large boxes and 2 small boxes weighs = 54 kilograms => 5 large boxes and 6 small boxes weighs = 108 kilograms Now, let’s find how does each type of box weigh => 3a + 2b = 54, where a and b are the unknown weights of each boxes => 5a + 6b = 108 Multiply the first given equation by 3 on both side to cross out letter B and find the value of A. => 3a(3) + 2b(3) = 54(3) => 9a + 6B = 162 Now subtract this by the second equation: => 9a + 6B = 162 – 5a + 6b =106 => 4a = 56 => 4a / a =56 /4 => a = 14 – The weight of large boxes Now, let’s find the B => 3(14) + 2b = 54 => 42 + 2b = 54 => 2b = 54 – 42 => 2b = 12 => 2b/2= 12/2 => b = 6 = the weight of small boxes
