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180 › Answers 147. 45 Let x = Morgan’s age now, and x + 5 = Morgan’s age 5 years from now. Write and solve the following equation, and then compute x + 5: − = +x x20 1 3 ( 20) − = ⋅ +x x3( 20) 3 1 3 ( 20) − = +x x3 60 20 =x2 80 =x 40 + =x 5 45 Tip: Be sure to answer the question asked. In this question, you must find Morgan’s age five years from now, not his current age. 148. 10 Let m = the number of non-employee guests at the party and − m25 = the number of employee guests. Write and solve the following equation: − =m m 25 3 2 − =m m2(25 ) 3 − =m m50 2 3 = m50 5 =m 10 149. 6 Let r = the jogger’s average jogging speed in miles per hour. Then r = t 8 miles , where t is the total time jogging (in hours). From the question information, t = 10:20 a.m. − 9:00 a.m. = 1 hour 20 minutes = 11 3 hours = 4 3 hours. Therefore, r = d t = =8 miles 4 3 hours 6 miles per hour. 150. 63 Let x, y = 3x, and z = 5x be the three integers. Then their sum is + +x x x3 5 = x9 . Because − =z y 14, write and solve the following equation, and then compute 9x: − =x x5 3 14 =x2 14 =x 7 =x9 63 151. 7 Let p = the price of one papaya and m = the price of one mango. Then +p m2 is the price of one papaya and two mangoes. Tip: Notice that to answer the question, you do not need the specific values of p and m. You need only the value of the sum, +p m2 . From the information about Pierre’s purchase, + =m p10 5 $35, which simplifies to + =p m2 $7. 06_McCune_Answer.indd 180 2/21/22 4:46 PM