How much candy at $1.16 a pound should be mixed with candy worth 86 cent a pound in order to obtain a mixture of 60 pounds of candy worth a dollar a pound?
Question
Answer:
Let the weights of the two candies be repres. by x and y.Then x + y = 60, or x = 60 - y
($1.16 / lb) x + ($0.86 / lb) y = ($1.00 / lb) (60 lb) = $60
Then 1.16(60-y) + 0.86y = 60
69.6 - 1.16y + 0.86y = 60 9.6
9.6 = 0.3y Solving for y, y = ------- = 32 lb
0.3
Then x = (60-32) lb = 28 lb
solved
general
11 months ago
1873