Question

basket A and Basket B have the same mass when empty. when 63 eggs put into basket A it weighs 1kg 8gms. when 54 eggs r put in basket B it weighs 891gms. what is the mass of the empty basket?

Answer 1

Let the first basket be called A, the second basket be called B, and the eggs be called E.

63E + A = 1008

54E + B = 891

as the baskets weigh the same, A=B

63E + B = 1008

54E + B = 891

Rearranging for B gives

B =1008 - 63E

B= 891 - 54E

as B=B, these two are equal

1008 -63E = 891 - 54E

subtracting 891 from both sides,

117 - 63E = -54 E

adding 63E to both sides gives

117 = 9E

dividing both sides by 9

13 = E

therefore each egg weighs 13gms.

putting this answer back into the equation

B=891-54E

gives B=891-(54*9)

B= 891 - 486

B = 405 gms