Answer:
[tex]8\ pounds[/tex]
Step-by-step explanation:
Let
x-----> amount of pounds of chocolate worth $1.5
we know that
[tex]1.5x+0.60(10)=1(x+10)[/tex]
[tex]1.5x+6=x+10[/tex]
[tex]1.5x-x=10-6[/tex]
[tex]0.5x=4[/tex]
[tex]x=8\ pounds[/tex]
Answer:
8 pounds
Step-by-step explanation:
Let x represent the amount of chocolate that is worth $1.50 per pound. This makes the total amount of this chocolate
1.5x.
The other type of chocolate is worth 60 cents, or 0.60, per pound; for 10 pounds of it, we have the expression
0.6(10).
Together, this gives us 1.5x+0.6(10).
This is to equal a chocolate that is worth $1.00 per pound. There will be 10+x pounds of this, giving us the expression
1(10+x).
This gives us the equation
1.5x+0.6(10)=1(10+x)
Simplifying the left hand side, we have
1.5x+6 = 1(10+x)
Using the distributive property on the right hand side, we have
1.5x+6 = 10+x
Subtract x from each side:
1.5x+6-x = 10+x-x
0.5x+6 = 10
Subtract 6 from each side:
0.5x+6-6 = 10-6
0.5x = 4
Divide both sides by 0.5:
0.5x/0.5 = 4/0.5
x = 8
