SOLUTION: a sugar dud has 30 less than twice as many calories as a krunchy krum. if 5 sugar duds have the same number of calories as 8 krunchy krums, how many calories are in each?

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Question 355436: a sugar dud has 30 less than twice as many calories as a krunchy krum. if 5 sugar duds have the same number of calories as 8 krunchy krums, how many calories are in each?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = # calories in a sugar dud
k = # calories in a krunchy krum. Then from the given,
s+=+2k-30. From the second sentence, we also know that 5s+=+8k.
Thus by direct substitution, 5%282k-30%29+=+8k.
10k-150+=+8k,
2k+=+150,
k+=+75, the number of calories in a krunchy krum. This makes s+=+120 calories for a sugar dud.