# Question #5ad8d

##### 1 Answer

#### Answer:

Solution given in a lot of detail so that you can see where everything come from. Used first principles method.

#### Explanation:

Note that % is like a unit of measurement and it is worth

10% is the same as

50% is the same as

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Given that the blend is 5 gallons

Let the amount of drink

Then the amount of drink

The amount of the juice in the blend is 30% so it is 30% of 5 gallons

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Don't like decimals so lets get rid of them.

Multiply everything by 10 giving:

Subtract 15 from both sides

Add

Divide both sides by 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

RHS is

Consider just the LHS:

LHS = RHS so correct