A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a total weight of 187 kilograms. A delivery of 3 large boxes and 2 small boxes has a total weight of 87 kilograms. How much does each type of box weigh?
+177 You could say that one large box is x and one small box is y.
So, 5x+6y=187
3x+2y=87
You could first solve for x (large box)
Find the LCM of 6 and 2 (6)
5x+6y=187
9x+6y=261
261-187=74
4x=74
74/4=18.5(for large box)
Now for the small box.
Find the LCM of 3 and 5 (15)
15x+18y=561
15x+10y=435
561-435=126
8y=126
126/8=15.75(small box)
(all answers are in kg)
+37146 5 l + 6 s = 187
3 l + 2 s = 87 multiply this equation by -3
-9 l - 6 s = -261 add top and bottom equations
-4 l = -74
l = 18.5 kg 3(18.5) + 2s = 87 s = 15.75 kg
