box of chocolates question

Question

when a box of chocolates was full it weighed 1.1 kg. After half of the chocolates were eaten, the box (with the remaining chocolates) weighed .7 kg. How much did the box weigh without the chocolates

Answer 1

1.1kg=weight of the box of chocolates=weight of chocolates +weight of box

 

.7kg=weight of the box of chocolates after you eat half of the chocolates=0.5*weight of chocolates +weight of box

 

Multiplying the second equation by -2 on both sides gives us

 

-1.4kg=-weight of chocolates -2 weight of box

 

Adding this equation to the first equation, canceling the weight of chocolates out, and solving for weight of box we get

 

1.1kg=weight of the box of chocolates=weight of chocolates +weight of box

-1.4kg=-weight of chocolates -2 weight of box

+_________________________________________

-.3kg=-weight of box

 

or simply .3kg=weight of box after multiplying(or dividing) both sides by -1.

 

I hope to answer more of your questions soon.

-cldp

Answer 2

1.1 - .7 = .4

.4 = half of the chocolates, which means:

.4 * 2 = all the chocolate = .8

1.1 - .8 = .3

So the box weighs .3 kg.