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- - **How Would You Find a System of Equations from this Algebra Mixture Problem?**
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How Would You Find a System of Equations from this Algebra Mixture Problem?So, I was given this algebra problem: How many gallons of milk containing 4% fat must be mixed with milk containing 1% fat to obtain a 15 gallon mixture containing 2% fat?And I have to create a system of equations for this problem, and define variables. I am going to be really honest, I really have no idea where to start with this. I had this same problem a while back, and had to find the answer (which is 5 gallons of 4% and 10 gallons of 1%). However, I did not need to make equations with variables to find the answer. If anyone could point me in the right direction it would be very much appreciated! Thanks! |

you have 3 buckets 1 contains some amount of 4% fat milk 1 contains some amount of 1% fat milk the 3rd starts out empty You fill the 3rd bucket with $v_1$ from the first bucket and $v_2$ from the second subject to the following two conditions. $v_1 + v_2 = 15$ $(0.04)v_1 + (0.01)v_2 = 15(0.02) = 0.3$ your equations in matrix form become $\begin{pmatrix}1 &1 \\0.04 &0.01 \end{pmatrix}\begin{pmatrix}v_1 \\v_2\end{pmatrix} = \begin{pmatrix}15 \\0.3 \end{pmatrix}$ |

Quote:
$y$ = number of gallons of 1% fat $x+y=15$ $x(4\text{%}) + y(1\text{%}) = 15(2\text{%})$ |

Thank you, this was really helpful!! :) |

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