A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10 a pound. How many pounds of wooden blocks and plastic bricks should be used to make a
10-pound mixture that would sell for $80?

4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.

Step-by-step explanation:

Let w = wooden block

Let p = plastic bricks

Given the following data;

Price of wooden block per pounds = $5

Price of plastic brick per pounds = $10

*Translating the word problem into an algebraic equation*

For the 10-pound mixture;

.........equation 1

For the $80 mixture;

..........equation 2

Solving the linear equation by using the substitution method;

Making w the subject in equation 1:

.......equation 3

Substituting "w" into equation 2;

Simplifying the equation, we have;

Rearranging the equation, we have;

p = 6 pounds (For the plastic brick).

To find w;

Substituting "p" into equation 3;

w = 4 pounds (For the wooden block).

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

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step-by-step explanation: