Question

A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10

Answer 1

Answer:

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;

$w + p = 10$ .........equation 1

For the $80 mixture;

$5w + 10p = 80$ ..........equation 2

Solving the linear equation by using the substitution method;

Making w the subject in equation 1:

$w = 10 - p$ .......equation 3

Substituting "w" into equation 2;

$5(10 - p) + 10p = 80$

Simplifying the equation, we have;

$50 - 5p + 10p = 80$

$50 + 5p = 80$

Rearranging the equation, we have;

$5p = 80 - 50$

$5p = 30$

$p = \frac {30}{5}$

p = 6 pounds (For the plastic brick).

To find w;

Substituting "p" into equation 3;

$w = 10 - 6$

w = 4 pounds (For the wooden block).