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Cara's Cookies
Cara made some cookies for the Math Club Bake Sale. She
sold 3/5 of them in the morning and 1/4 of the remaining
cookies in the afternoon.
If she sold 200 more cookies in the morning than in the
afternoon, how many cookies did she make? |
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Cheap Sunglasses #316
Gilbert was working on lighting for the school play and thought
that he could make a cool pair of sunglasses by attaching
some of the red filter film to his glasses.
He did some research and learned that 20 percent of the light
passing through the filter is absorbed. He also read that
good sunglasses should absorb 80 percent of the incoming light,
so he figured that if he put four layers of filter film on
his glasses he'd be all set.
1. Calculate the percentage of light that passes through one
layer of filter film, two layers of film, three layers of
film, and four layers of film. Is Gilbert right?
2. Write a formula that will calculate the percentage of light
that will pass through n layers of filter film.
3. Use your formula to calculate what percentage of light
will pass through 20 consecutive layers of filter film.
Extra: How many layers of film would it take for no light
at all to pass through? Explain your thinking. |
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A Pound of Tea
Jonathan and Hazel love to drink tea. When they are both
at home, a pound of tea lasts two weeks. Occasionally Hazel
visits her mother in Australia. It takes six weeks for Jonathan
alone to use up a pound of tea.
How long should a pound of tea last Hazel if she were alone?
Remember to explain how you solved the problem.
Extra: In 2006 Hazel visited her mother for six weeks in
the spring. In the summer Jonathan gave up drinking tea
for six weeks. Their favorite tea costs $9.00 per pound.
About how much did the couple spend on tea during the year?
Explain.
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