Question 967144: Hey everyone, I did a math test recently. I got this problem wrong, but still unsure of what I did wrong. I have no one around me who could help. Please help me by explaining. Thank you!
Question:
Brenda baked a delicious batch of brownies in a pan.
1. She divided up the brownies into 15 equal sized rectangles. Draw the rectangles to show how the brownie would be cut in the pan.
2. The pan has dimensions 12 inches by 8 inches. What are the dimensions of one of your brownies?
______________ inches by ______________ inches
3. She invites three friends over to share the brownies among the four of them. They all ate the same amount and all the brownies were eaten. How much did each person eat?
For a pan of Brenda’s brownies, she needs 3/8 of a cup of flour and 1/3 of a cup of cocoa powder.
4. Brenda has a package of flour that contains 2 ¾ cups of flour. How many pans of brownies can she make?
5. If she also has 2 ½ cups of cocoa powder in a package, which ingredient will she run out of first? Explain how you know for sure.
Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! 1) We are given a rectangle pan, make five horizontal cuts which divide the width into fifths and two vertical cuts that divide the length into thirds. This gives us 15 brownies.
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2) 12/3 by 8/5 which is 4 inches by 1.6 inches
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3) 15/4 = 3.75 brownies per person
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4) 2 (3/4) = 11/4 = 22/8 cups of flour, she need 3/8 cup of flour per pan, then
(22/8) / (3/8) = (22/8) * (8/3) = 22/3 = 7.33333, therefore
she can make 7 pans of brownies
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5) 2 (1/2) = 5/2 = 15/6 cups of cocoa, she needs 2/6 cup of cocoa per pan, then
(15/6) / (2/6) = (15/6) * (6/2) = 15/2 = 7.5, therefore
she has enough cocoa for 7 pans of brownies
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after 7 pans of brownies, she will have (1/3) cup of flour and (1/2) cup of cocoa left. Note that (1/3) = (2/6) and (1/2) = (3/6), she will run out of flour first
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