Example 1

A radiator's capacity is 16 gallons. If the radiator is full of a 40% antifreeze solution, how many gallons must be drained and replaced with a 75% solution to obtain a full radiator of 45% antifreeze solution?

A diagram is helpful here (see Figure 1). 

So , or gallons must be drained and replaced. 

A diagram of the problem posed in Example . 

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