Question

Terri is packing balls in a box. If 13 balls are placed in the box, its total weight is 835 grams. If 8 balls are placed in the box, its total weight is 535 grams. What is the weight of the box alone??

Answer 1

Let the weight of one ball is denote by x, and

the weight of box is denoted by y

Therefore we write in equation from

13x+y = 835 grams ........................(1)

8x+y = 535 grams ..........................(2)

Soving (1) and (2) simultaneously

Substracting (2) eqn from (1) eqn is

13x-8x = 835-535

5x = 300

Therefore, x = 60 grams

The weight of one ball is 60 grams

Substitute the value of x in (1) eqn

13*60 +y = 835

780+y = 835

y = 835-780 = 55 grams

Therefore, the weight of box is 55 grams.

Answer: 55 grams