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Two Unknowns

  •  English    9     Public
    Math Word Problems with two unknowns
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  • Noah made a 20-layer masterpiece sandwich that weighed 1.5 lbs! Each Turkey slice weighs 1.2 oz, while the Provolone slices are .8 oz. If the bread & condiments weighed 4 oz, what was his ratio of meat to cheese? 1lb=16oz
    1:1 10x1.2+10x.8=20 20+4=24 24/16=1.5
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  • Hansen made a 20-layer masterpiece sandwich that weighed 1.75 lbs! Each Turkey slice weighs 1.2 oz, while the Provolone slices are .8 oz. If the bread & condiments weighed 6 oz, what was his ratio of meat to cheese? 1lb=16oz
    3:1 15x1.2+5x.8=20 22+6=28 28/16=1.75
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  • Sophie made $137 profit by selling T-shirts. Tie-dye shirts cost $5 to make, while logo shirts cost $6. She sold 20 shirts for $12 each. Which kind should she make more of for next time?
    Tie-dye 12-5=7, 12-6=6 7x10+6x10=130 137>130
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  • Aaron helps Sophie sell shirts for half of the profits. Tie-dye shirts cost $5 to make, while logo shirts cost $6. Aaron sold 20 shirts for $21 each & made $151. How many of each shirt did he sell?
    Tie-dye=2, Logo=18 (21-5)/2=8, (21-6)/2=7.5 8x2+7.5x18=151
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  • Arlene wants to make 10 necklaces that are 56cm long. She buys 3 packs of pink 10mm beads & 3 packs of green 9mm beads. (1 pack=100) If she makes a bracelet out of any extra beads, what color is it?
    Pink 10x29+9x30=560 300/30=10 necklaces 300/29=10 w/ a remainder of 10 pink beads.
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  • Bonus: Assuming a Proportional Relationship, if a Large pizza slice has 285 calories, how many calories does a Medium pizza slice have? 14” L=10pc, 12” M=8pc. A= π r²
    261 calories P=3.14 AL=154/10=15.4 AM=113/8=14.1 14.1/15.4x285=261
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  • 6 people are buying 2 pizzas to share, but they don’t plan to recut. What fraction of people will get more pizza? 14” L=10pc, 12” M=8pc
    2/3 get more pizza (4 people=2L+M, 2 people=L+2M) 4/6=⅔
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  • Bonus: Compare the angle of a Large pizza slice to that of a Medium pizza slice. 14” L=10pc, 12” M=8pc Circle=360*
    A Large slice is 9 degrees less. (360/10=36, 360/8=45. 45-36=9)
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  • Gavin bought a box with both blueberry and poppyseed muffins. There were 4 more blueberry muffins than poppyseed muffins, and there were 14 muffins in all. How many blueberry muffins did Gavin buy?
    9
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