Question 347686
Let {{{A}}} be the amount of $2.50/kg nuts.
Let {{{B}}} be the amount of $1.00/kg cereal.
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Total weight equation:
1.{{{A+B=30}}}
Concentration/Price equation:
{{{2.5A+1B=1.7(30)}}}
2.{{{2.5A+B=51}}}
Subtract eq. 1 from eq. 2,
{{{2.5A+B-A-B=51-30}}}
{{{1.5A=21}}}
{{{highlight(A=14)}}}kg
Now that you have {{{A}}} use either equation to solve for {{{B}}}.