In: Advanced Math
You have three types of a sand/salt/beet juice mixture for preparing the roads for different kinds of storm conditions. The first type (A) is 25% sand, 10% salt, and 65% beet juice. The second type (B) is 10% sand, 50% salt, and 40% beet juice. The third type is 70% sand, 15% salt, and 15% beet juice (C). For the storm 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 be combined to obtain this mixture. Write the system of equations that represents this problem and the translation of that system into a matrix.