Question

Enter the value of p so the expression 5/6 - 1/3n equivalent to p(5-2n)

Answer 1

19

Explanation:

Let x

Then we have 15 (x + 9) = 420.

We can divide both side by 15, getting x + 9 = 28. Then, we can subtract both sides by 9, getting x = 28 - 9 = 19.

Since there are 15 players and he bought a basketball for each of them, he bought 15 basketballs in total.The price of a basketball costs $9.The total price of all 15 basketballs = $9 * 15 = $135.He spent $420 on uniforms and basketballs, and he spent $135 on basketballs.Thus, he spent $420 - $135 = $285 on uniforms.As he bought a uniform for each of the 15 players, he bought 15 uniforms in total.The price of 15 uniforms is $285.The price of 1 uniform is $285 ÷ 15 = $19.

hope this helps also adding more things to make it easier

Answer 2

You said 5/6 - 1/3 n = p (5 - 2n)

Divide each side by (5 - 2n) :

p = (5/6 - 1/3 n) / (5 - 2n) .

That's about all you can do with it.
As you can see, the required value for 'p'
depends on the value of 'n'.

If you want to get rid of those awkward fractions,
I guess you could multiply top and bottom by 6 .
Then you have ...

p = (5 - 2 n) / 6·(5 - 2n) .

Oh, my goodness ! Look at that !

p = 1/6 .

It doesn't even depend on 'n' at all. It's always true,
no matter what 'n' is.

I am surprised.