A set of silverware contains 30 pieces. The set contains only spoons, forks, and knives. It contains the same number of spoons and forks and twice as many spoons as knives. How many forks are there in the set?

Question

Ryan Fischer

Mathematics

19 October, 19:00

A set of silverware contains 30 pieces. The set contains only spoons, forks, and knives. It contains the same number of spoons and forks and twice as many spoons as knives. How many forks are there in the set?

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Answers (2)

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Sariah Tran · Answer 1

S = f (where s = number of spoons and f = number forks)

s = 2k (k = number of knives)

s + f + k = 30

2s + k = 30 (because s = f)

4k + k = 30

k = 6

Number of forks (f) = twice number of knives = 2*6 = 12 Answer

Rosemary · Answer 2

Let the number of knife be x.

Knife = x

Spoon = 2x

forks = 2x

Total = 30

x + 2x + 2x = 30

5x = 30

x = 6

Knife = x = 6

forks = 2x = 12

Spoon = 2x = 12

Answer: There are 12 forks.