Answer:
Step-by-step explanation:
<u> 6 </u>- <u>5x</u> = <u> 6(4)</u><u>(x - 1) </u><u> </u>- <u>5x(4)(x - 1) </u>=<u> 24x - 24</u> = <u>20x² - 20x</u> = <u>20x² - 4x - 24</u>
x - 1 4 4(x - 1) 4(x - 1) 4x - 4 4x - 4 4x - 4
Ron would have more pennies in each group. This is because 20/4=5, leaving Ron with 5 pennies in 4 groups. Where as Pam would have 4 pennies in 5 groups.
So,
Let the amount of the expensive coffee beans be x, and the amount of the less expensive coffee bean be y.
The number of pounds of coffee beans is 50.
x + y = 50
$8 times the amount of more expensive coffee beans plus $4 times the amount of less expensive coffee beans divided by 50 equals $6.50.

Now, all we have to do is use Elimination by Substitution.
x + y = 50
Subtract y from both sides.
x = 50 - y
Substitute 50 - y for x in the second equation.

Distribute.

Collect Like Terms.

Simplify.



Multiply both sides by 25.

Add 2y to both sides.

Subtract 162.5 from both sides.
37.5 = 2y
Divide both sides by 2.
18.75 = y
Substitute in an earlier equation to solve for x.
x = 50 - y
x = 50 - 18.75
x = 31.25
Check.
31.25 + 18.75 = 50 lbs.






6.50 = 6.50 This also checks.
There were 31.75 pounds of the more expensive coffee bean and 18.75 pounds of the less expensive coffee bean.
Answer:
t+c ≤ 55
Step-by-step explanation:
t+c is the total pieces of furniture and it must be at most (less than or equal to) 55 so t+c ≤ 55 is the equality that represents the possible values.