Jude is trading his bottle cap collection to Arthur for some of Arthur's matchbox vehicles. Arthur charges Jude 5 bottle caps for a car and 6 bottle caps for a truck. Jude has 100 bottle caps. If he buys 10 trucks and spends 75% of his remaining bottle caps on cars, how many total matchbox vehicles does he buy?
Thoughts? Step-by-step reasoning:
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The trucks cost 60 bottle caps because 10 x 6 = 60. He has 40 bottle caps left because 100 - 60 = 40. He spends 30 bottle caps on cars because 40 x .75 = 30. He gets 6 cars with this because 30 / 5 = 6. He gets 16 vehicles in total because 10 + 6 = 16.
Thus, the answer is 16.
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