Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Write the ratio of the first measurement to the second measurement.

9. length of a tennis racket: 2 ft 4 in.

   length of a table tennis paddle: 10 in.

10. height of a table tennis net: 6 in.

    height of a tennis net: 3 ft

11. diameter of a table tennis ball: 40 mm

    diameter of a tennis ball: 6.8 cm

12. length of a tennis court: 26 yd

    length of a table tennis table: 9 ft

See Problem 2.

13. Baseball A baseball team played 154 regular season games. The ratio of the number of games they won to the number of games they lost was 5 2 . 5 halves , .  How many games did they win? How many games did they lose?
14. The measures of two supplementary angles are in the ratio 5 : 7. What is the measure of the larger angle?

See Problem 3.

15. The lengths of the sides of a triangle are in the extended ratio 6 : 7 : 9. The perimeter of the triangle is 88 cm. What are the lengths of the sides?
16. The measures of the angles of a triangle are in the extended ratio 4 : 3 : 2. What is the measure of the largest angle?

See Problem 4.

Algebra Solve each proportion.

17. 1 3 = x 12 1 third , equals , x over 12
18. 9 5 = 3 x 9 fifths , equals , 3 over x
19. 4 x = 5 9 4 over x , equals , 5 ninths
20. y 10 = 15 25 y over 10 , equals , 15 over 25
21. 9 24 = 12 n 9 twenty fourths , equals , 12 over n
22. 11 14 = b 21 11 over 14 , equals , b over 21
23. 3 5 = 6 x + 3 3 fifths , equals . fraction 6 , over x plus 3 end fraction
24. y + 7 9 = 8 5 fraction y plus 7 , over 9 end fraction . equals , 8 fifths
25. 5 x − 3 = 10 x fraction 5 , over x minus 3 end fraction . equals , 10 over x
26. n + 4 8 = n 4 fraction n plus 4 , over 8 end fraction . equals , n over 4

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