How many pounds of chocolate worth $1.5 a pound must be mixed with 10 pounds of chocolate worth 60 cents a pound to produce a mixture worth $1 a pound?
Answers
Answer:
8 pounds of chocolate worth $1.5 must be mixed.
Step-by-step explanation:
Let the chocolate worth $1.5 be = P
10 pounds of chocolate is worth 60 cents a pound, i.e. $0.6
When mixed, total weight T = P + 10
Total mixture is worth $ 1.
Therefore we can write the costing as
1.5× P + 10×0.6 = 1 × (P+10)
Solving the equation for P,
1.5P + 6 = P + 10
1.5P - P = 10 - 6
0.5P = 4
P = 8
∴ 8 pounds of chocolate worth $1.5 must be mixed.
Answer:
8 pounds
Step-by-step explanation:
How many pounds of chocolate worth $1.5 a pound must be mixed with 10 pounds of chocolate worth 60 cents a pound to produce a mixture worth $1 a pound?
Let say x pound of chocolate worth $1.5 / pound is mixed with
10 pounds of chocolate worth 60 cents /pound
60cents = 60/100 $ = 0.6 $
Total chocolate = x + 10 pound
Total cost = x * 1.5 + 10*.6 = 6 + 1.5x $
Cost per pound = ( 6 + 1.5x)/(x+10) $
Cost Per pond = $ 1
( 6 + 1.5x)/(x+10) = 1
=> 6 + 1.5x = x +10
=> 0.5x = 4
=> x = 8
8 pound of chocolate worth $1.5 a pound must be mixed