How many pounds of chocolate worth $1.5 a pound must be mixed with 10 pounds of chocolate worth 80 cents a pound to produce a mixture worth $1 a pounds.

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Mathematics

Guest

27 August, 12:39

How many pounds of chocolate worth $1.5 a pound must be mixed with 10 pounds of chocolate worth 80 cents a pound to produce a mixture worth $1 a pounds.

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Ellis Arroyo · Answer 1

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.