Page 624 - Basic College Mathematics with Early Integers

S E C T I O N 8.5 I EQUATIONS AND PROBLEM SOLVING 601

25. Fifty decreased by eight times a number 26. Twenty decreased by twice a number

27. The product of 5 and the sum of -3 and a number is 28. Twice the sum of -17 and a number is -14.
-20.

Objective Translate each to an equation.Then solve the equation. See Example 3.

29. Three times a number, added to 9, is 33. Find the 30. Twice a number, subtracted from 60, is 20. Find the
number. number.

31. The sum of 3, 4, and a number amounts to 16. Find the 32. The sum of 7, 9, and a number is 40. Find the
number. number.

33. The difference of a number and 3 is equal to the 34. Eight decreased by a number equals the quotient
quotient of 10 and 5. Find the number. of 15 and 5. Find the number.

35. Thirty less a number is equal to the product of 3 and 36. The product of a number and 3 is twice the sum
the sum of the number and 6. Find the number. of that number and 5. Find the number.

37. 40 subtracted from five times a number is 8 more than 38. Five times the sum of a number and 2 is 11 less than
the number. Find the number. the number times 8. Find the number.

39. Three times the difference of a number and 40. Seven times the difference of a number and 1 gives
5 amounts to the quotient of 108 and 12. Find the quotient of 70 and 10. Find the number.
the number.

41. The product of 4 and a number is the same as 30 less 42. Twice a number equals 25 less triple that same
twice that same number. Find the number. number. Find the number.