SOLUTION: the box of 18 chocolates has a gross mass of 310 grams. that includes the weight of the box and any other packing materials used. when 8 chocolates have been eaten, the b

Question 1024051: the box of 18 chocolates has a gross mass of 310 grams.

that includes the weight of the box and any other packing materials used.

when 8 chocolates have been eaten, the box and the remaining chocolates and any other material used in packing them in the box have a combined mass of 210 grams.

the difference in the mass of the box and the chocolates is 310 - 210 = 100 grams.

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
18 chocolates and their box have a mass of 310 grams.
8 chocolates are removed.
the box and the remaining chocolates now weighs 210 grams.
100 grams has been removed by 8 chocolates.
this means that each chocolate must weigh 100 / 8 = 12.5 grams.

that should be your answer.

you can figure out the mass of the box by multiplying 12.5 * 18 to get a total mass of the 18 chocolates at 225 grams.

310 - 225 = 85 grams.

the box must weigh 85 grams when it's empty.

you can make an equation out of this.

the equation is y = 85 + 12.5x.

x represents the number of chocolates added to the box.

when x is 0, the box weighs 85 grams.
when x is 10, the box weighs 85 + 125 = 210 grams.
when x is 18, the box weighs 85 + 225 = 310 grams.

this confirms that the equation faithfully represents the situation as expressed in the problem statement.

an alternative equation assumes the initial weight of the box and the chocolates is 310 and then subtracts 12.5 * the number of chocolates.

that equation is y = 310 - 12.5x.

x represents the number of chocolates removed from the box.

when x is 0, the weight of the box is 310 grams.

when x is 8, the weight of the box is 310 - 8 * 12.5 = 210 grams.

when x is 18, the weight of the box is 310 - 18 * 12.5 = 85 grams.

the solution is confirmed by both equations.

each chocolate weighs 12.5 grams.

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