Barbara, Becky and Beth dressed up as princesses for
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Answer:
in
Step-by-step explanation:
The formula to find the area of a circle: , where
is the radius.
The formula to find the circumference (perimeter) of a circle: , where
is the radius.
1) To find the circumference of the circle, we need to find the radius () first. Since the area of the circle is given to us, we need to equate this to the formula to find the area of a circle.
Cancel the by bringing it to the other side.
÷
2) Find the circumference of the circle by using the formula, .
=
= in
The candy store owner should use 37.5 pounds of the candy costing $1.25 a pound.
Given:
- Candy costing $1.25 a pound is to be mixed with candy costing $1.45 a pound
- The resulting mixture should be 50 pounds of candy
- The resulting mixture should cost $1.30 a pound
To find: The amount of candy costing $1.25 a pound that should be mixed
Let us assume that the resulting mixture should be made by mixing 'x' pounds of candy costing $1.25 a pound.
Since the total weight of the resulting mixture should be 50 pounds, 'x' pounds of candy costing $1.25 a pound should be mixed with '' pounds of candy costing $1.45 a pound.
Then, the resulting mixture contains 'x' pounds of candy costing $1.25 a pound and '' pounds of candy costing $1.45 a pound.
Accordingly, the total cost of the resulting mixture is
However, the resulting mixture should be 50 pounds and should cost $1.30 a pound. Accordingly, the total cost of the resulting mixture is
Equating the total cost of the resulting mixture obtained in two ways, we get,
This implies that the resulting mixture should be made by mixing 37.5 pounds of candy costing $1.25 a pound.
Learn more about cost of mixtures here: