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1) Two teams enter a contest that has two parts to it. Part A problems are each worth the same amount, and Part B problems are each worth the same amount. The Geeks score 54 points. The
Whizzes score 51 points. Their captains find out that the Geeks answered 10 problems in Part A correctly and 12 problems in Part B correctly. The Whizzes answered 11 problems in Part A
correctly and 9 in Part B correctly. What would the Whizzes have scored if they had answered 2 more problems in Part B correctly for a total of 11 Part A problems and 11 Part B problems?
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2) Alex and Ian are shopping for new clothes. Alex says to Ian, "If you give me $5, we will have an equal amount of money and that would be fair." Ian responds, "That may be true, but if you give me $4, I will have twice as much money as you and that would be much better." How much money do Alex and Ian have together?
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3) Mrs. Jyoti was keeping track of how many
mystery books and how many adventure books her
students were reading from the class collection. If
this pattern in book reading continues, how many
mystery books will be read in January and how
many adventure books?
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4) Trina falls off a 300 foot cliff. Her height above the ground is modeled by the equation
T = 300 - 32t, t in seconds.
She's in luck and Superman flies after her. His height above the ground is modeled by the equation
S = 500 - 57t, t in seconds.
How high off the ground are they when he catches Trina?
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5) Jesse creates a pattern of equilateral triangles with
rhombuses and triangles, the first three are shown. He
sees that each rhombus is two triangles. How many
rhombuses will he need if he wants to build the 20th
triangle in the pattern?
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