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Published byJudith Dawson Modified over 9 years ago
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1.Bobbie sold snacks for a fund raiser. He sold 18 cheese crunchies at 59 each. Half of the total amount sold was nutty buddy cookies. Bobbie’s aunt bought 8 soft pretzels for $2.45 each. One third of the remaining sales was the popcorn his grandmother purchased. His grandmother’s order totaled $21.51. How much did Bobbie fund raise? Define your variable: X = total amount of Bobbie’s fund raiser Verbal Model: 1/3 (remaining sales) = 21.51 1/3 ( x – 18 0.59 – ½ x - 8 2.45) = 21.51 1/3 ( ½ x 10.62 – 19.60) = 21.51 1/3 ( ½ x 30.22) = 21.51 ½ x – 30.22 = 3(21.51) ½ x – 30.22 = 64.53 ½ x = 94.75 X = 189.50 Bobbie’s total fund raising was $189.50.
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2.Shelly bought adult movie tickets for $8.95 each and children tickets for $5.95 each. She purchased twice as many children’s tickets than adult tickets. Her total bill was $145.95. How many of each type of ticket did she sell? Define your variable: X = the number of adult tickets she purchased 2x = the number of children tickets Verbal model: 8.95x + 5.95(2x) = 145.95 20.85x = 145.95 X = 7 Shelly bought 7 adult tickets and 14 children tickets.
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3.Sarah had three times as many dimes as she had quarters. Altogether she had $8.80. How many of each coin did she have? X = the number of quarters 3x = the number of dimes 0.25x = the value of the quarters 0.10 (3x) = the value of the dimes 0.25x + 0.30x = 8.80 0.55 x = 8.8 X = 16 Sarah had 16 quarter and 48 dimes.
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