Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Solve each proportion using the Multiplication Property of Equality.

10. q 8 = 4 5 q over 8 , equals , 4 fifths
11. − 3 4 = x 26 negative 3 over 4 , equals , x over 26
12. 3 4 = x 5 3 fourths , equals , x over 5
13. m 7 = 3 5 m over 7 , equals , 3 fifths
14. 3 16 = x 12 3 sixteenths , equals , x over 12
15. 9 2 = k 25 9 halves , equals , k over 25
16. x 120 = 1 24 x over 120 , equals , 1 twenty fourth
17. 2 15 = h 125 2 fifteenths , equals , h over 125

See Problem 2.

Solve each proportion using the Cross Products Property.

18. 3 v = 8 13 3 over v , equals , 8 thirteenths
19. 15 a = 3 2 15 over eh , equals , 3 halves
20. 3 8 = 30 m 3 eighths , equals , 30 over m
21. 2 7 = 4 d 2 sevenths , equals , 4 over d
22. − 9 b = 5 6 negative 9 over b , equals , 5 sixths
23. 8 p = 3 10 8 over p , equals , 3 tenths
24. − 3 4 = m 22 negative 3 over 4 , equals , m over 22
25. 2 − 5 = 6 t 2 over negative 5 , equals , 6 over t

See Problem 3.

Solve each proportion using any method.

26. a − 2 9 = 2 3 fraction eh minus 2 , over 9 end fraction . equals , 2 thirds
27. b + 4 5 = 7 4 fraction b plus 4 , over 5 end fraction . equals , 7 fourths
28. 3 7 = c + 4 35 3 sevenths , equals . fraction c plus 4 , over 35 end fraction
29. 2 c 11 = c − 3 4 fraction 2 c , over 11 end fraction , equals . fraction c minus 3 , over 4 end fraction
30. 7 k − 2 = 5 8 fraction 7 , over k minus 2 end fraction . equals , 5 eighths
31. 3 3 b + 4 = 2 b − 4 fraction 3 , over 3 b plus 4 end fraction . equals . fraction 2 , over b minus 4 end fraction
32. q + 2 5 = 2 q − 11 7 fraction q plus 2 , over 5 end fraction . equals . fraction 2 q minus 11 , over 7 end fraction
33. c + 1 c − 2 = 4 7 fraction c plus 1 , over c minus 2 end fraction . equals , 4 sevenths

    See Problem 4.

34. Gardening A gardener is transplanting flowers into a flowerbed. She has been working for an hour and has transplanted 14 flowers. She has 35 more flowers to transplant. If she works at the same rate, how many more hours will it take her?
35. Florists A florist is making centerpieces. He uses 2 dozen roses for every 5 centerpieces. How many dozens of roses will he need to make 20 centerpieces?
36. Picnics If 5 lb of pasta salad serves 14 people, how much pasta salad should you bring to a picnic with 49 people?

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