| Problem |
Solution |
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1) Duane has been collecting quarters for the past few years. He has 98 quarters and has decided
to spend his quarter collection on a new movie that costs $10. Duane spends half of his
remaining money on lunch. How much money does Duane have left?
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1. Compute how many dollars and cents 98 quarters is =
98 x .25 = $24.50
2. Subtract $10 from that = $14.50
3. Take half of the remainder = $7.25
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2) Bart makes 9 liters of fruit punch, which consists of two ingredients: apple juice and
cranberry juice. He follows the recipe and mixes together twice as much apple juice as
cranberry juice. He and his three friends drink 1 liter of the punch, which Bart then replaces
with a liter of cranberry juice. How much apple juice is now in the punch? Express your
answer in whole numbers and fractions. |
1. If Bart makes 9 liters of punch and there is twice as much apple juice as cranberry juice then the amount of apple juice = 6 liters.
2. This is 2/3 of the punch.
3. The one liter they drank has 2/3 liter of apple juice.
4. Subtract this from the original amount of apple juice to get the remaining amount of apple juice =
6 - 2/3 = 5 1/3 liters
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3) Lila went to a park that was 1 kilometer away from her house. When she left her house, she
started riding her bike towards the park and then she walked the rest of the way. Her riding pace
was 4 times as fast as her walking pace, but she spent the same amount of time on her bike as
she did walking. How far did she ride her bike? Write the answer in meters. |
If Lila rode 4 times the walking pace and the same amount of time was spent riding as walking, then she covered 4/5 of the distance to the park riding =
800 meters.
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4) Union Middle School has a U made from large square red tiles in the
middle of the entry way leading up to the main doors. The width of one
tile is 4 feet and each piece of the U is one tile wide - see drawing. The
area of the U is 160 square feet. What is its perimeter?.