+197 a fruit company delivers its fruit in two types of boxes: large and small. A delivery of 6 large and 5 small boxes has a total weight of 190 kilo. A delivery of 2 large boxes and 3 small boxes has a total of 84 kilograms. how much does each type of box weigh
+129849 We have this system
6L + 5S = 190 (1)
2L + 3S = 84 multiply through by -3 ⇒ -6L - 9S = -252 (2)
Add (1) and (2) and we get that
-4S = -62
S = -62 / -4 = 15.5 kilos for a small box
And
2L + 3S = 84
2L + 3 (15.5) = 84
2L = 46.5 = 84
2L = 84 - 46.5
2L = 37.5
L = 37.5 /2 = 18.75 kilos for a large box
