Achemical company makes two brands of antifreeze. the first brand is 70% pure antifreeze, and the second brand is 95% pure antifreeze. in order to obtain 180 gallons of a mixture that contains 90% pure antifreeze, how many gallons of each brand of antifreeze must be used?

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for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: