Answer:
Hence, 4 pounds of chocolates worth $1.5 a pound should be mixed to 10 pounds of chocolates worth 80 cents a pound to produce a mixture worth $1 a pounds.
Step-by-step explanation:
Let x denotes the number of chocolates that cost $1.5 a pound.
and y denotes the number of chocolates that cost 80 cents a pound.
We know that 1 cent=0.01 dollars.
80 cents=80×0.01=0.80 dollars.
we are given y=10
now we need to find 'x' using the above information by forming a linear equation.
1.5x+0.80y=1(y+x)
as y=10
1.5x+8=(10+x)
1.5x+8=10+x
1.5x-x=10-8
0.5x=2
x=2/0.5
x=4
Hence, 4 pounds of chocolates worth $1.5 a pound should be mixed to 10 pounds of chocolates worth 80 cents a pound to produce a mixture worth $1 a pounds.
