Question

Audreys Candy Store sold 22 individual pounds of jelly beans, one kind at $3.87 per pound and the other at $0.94 per pound. In all, $29.47 was taken in for the two types of jelly beans. How many pounds were sold?

Answer 1

Answer:

• 3 pounds at $3.87
• 19 pounds at $0.94

Step-by-step explanation:

Let x represent the number of pounds of high-priced jelly beans sold. Then the total revenue was ...

  3.87x + 0.94(22 -x) = 29.47

  2.93x + 20.68 = 29.47 . . . . . . eliminate parentheses, collect terms

  2.93x = 8.79 . . . . . . . . . . . . . .  subtract 20.68

  x = 3  . . . . . . . . . divide by 2.93

3 pounds of $3.87 jelly beans were sold; 19 pounds of $0.94 jelly beans were sold.