# Question #5ad8d

##### 1 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

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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

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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

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RHS is

Consider just the LHS:

LHS = RHS so correct