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.

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.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.