You have three types of a sand/salt/beet juice mixture for preparing the roads for different kinds...

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You have three types of a sand/salt/beet juice mixture forpreparing the roads for different kinds of storm conditions. Thefirst type (A) is 25% sand, 10% salt, and 65% beet juice. Thesecond type (B) is 10% sand, 50% salt, and 40% beet juice. Thethird type is 70% sand, 15% salt, and 15% beet juice (C). For thestorm that is coming, we need a mixture that will be 40% sand, 25%salt, and 35% beet juice (D). Find how much of each type should becombined to obtain this mixture. Write the system of equations thatrepresents this problem and the translation of that system into amatrix.

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