A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. How much does each type of box weigh?

Large box = 31/2 = 15.5 kgs

Small box = 27/2 = 13.5 kgs.

Step-by-step explanation:

Let x be large box

Let y be small box

5x + 3y = 118

5x = 118 - 3y

x = 118/5 - 3/5y

2x + 12y = 193

2(118/5 - 3/5y) +12y = 193

y = 27/2 = small box

Large box

5x + 3(27/2)=118

x = 31/2 = large box

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.