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1) The children are harvesting apples. They harvest 72 dozen apples. They lost 1/8 of the apples to
bruises while packing. 1/7 of the remaining apples were thrown out because of scabs. Twenty
dozen apples were donated to the local food bank. How many apples did they have left to sell?
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1. Compute what 1/8th of the apples is and subtract it, leaving = _____
2. Take 1/7th of this and subtract it, leaving _____
3. Subtract 20 dozen apples, leaving _____ dozen apples.
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2) The expression 1.25C+ 1.85R computes the cost of purchasing C bottles of Cola and R bottles of
Root Beer. Max has $10.00 to spend and wants to buy at least 2 bottles of each and then as many
bottles of soda as he can with the money left. How many bottles of Cola and how many bottles of
Root Beer should he purchase?
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1. Compute the cost of 2 cans of cola and 2 cans of root beer and subtract that from the $10, leaving $_____.
2. Divide the remaining amount by the cost of a bottle of cola = _____ bottles of cola.
3. Since root beer costs more than cola, there can be no more root beer, so Max bought ____ cans of root beer and _____ cans of cola.
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3) What number is in the one's digit place for the expanded form of 864?
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This kind of problem relies on the fact that some numbers have repeating one's place digits when taken to increasing powers. Keep taking powers of 8 (2,3,4, ...) until you notice a pattern. Divide the power you want by the number of repeating digits. The remainder will be the number of the digit in the repeating sequence. |
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