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Word Problems Quiz ~ Review

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1) At the Apple Orchard, tickets for adults cost $4.00 and $2.50 for students. How many of each kind of tickets were purchased if 125 tickets were bought for $413? 2) You invest $10,000. Part at 5% and the rest at 7%. If you make $620 in annual interest how much did you invest at each rate?

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1) At the Apple Orchard, tickets for adults cost $4.00 and $2.50 for students. How many of each kind of tickets were purchased if 125 tickets were bought for $413? QVT Ax44x S 125 – x 2.5 2.5(125 – x) 413 4x + 2.5(125 – x) = 413 67 58

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2) You invest $10,000. Part at 5% and the rest at 7%. If you make $620 in annual interest how much did you invest at each rate. PRTI 5%x.05.05x 7% 10,000 – x.07.07(10000 – x) 620.05x +.07(10000 – x) = 620 $4000 $6000

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3) Mitch left Miami at 11 am and drove to Tampa at 55 mph. Ashley left Miami at 2 pm and traveled the same route. They both arrived at 7 pm. How fast was Ashley driving?

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RTD M558440 AR55R 5R = 440 R = 88 mph

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4) You have 53 coins consisting of nickels and dimes. They total $3.55. How many nickels and dimes do you have? 5) You invest $12,000. Part at 8% and the rest at 11%. If you make $1110 in annual interest how much did you invest at each rate?

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4) You have 53 coins consisting of nickels and dimes. They total $3.55. How many nickels and dimes do you have? QVT Nx55x D 53 – x 10 10(53 – x) 355 5x + 10(53 – x) = 355 35 18

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5) You invest $12,000. Part at 8% and the rest at 11%. If you make $1110 in annual interest how much did you invest at each rate. PRTI 8%X.08.08x 11 % 12,000 – x.11.11(12000 – x) 1110.08x +.11(12000 – x) = 1110 $7000 $5000

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6) Two boats start at the same time. One goes up the Mississippi at 28 mph and the other down the river at 42 mph. A. How long until they are 210 miles apart? B. How far has each boat traveled? 7) Train one travels at 60 mph and train two travels at 75 mph. Train two left 2 hours after train one. How long until the train 2 passes train one.

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6) Two boats start at the same time. One goes up the Mississippi at 28 mph and the other down the river at 42 mph. A.How long until they are 210 miles apart? B. How far has each boat traveled? RTD B128t28t B242t42t 28t + 42t = 210 210 Time = 3 hours 84 126

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7) Train one travels at 60 mph and train two travels at 75 mph. Train two left 2 hours after train one. How long until the train 2 passes train one. RTD T160t60t T275 t – 2 75(t – 2) 60t = 75(t – 2) Time = 10 hours after train 1 10 8

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