Question 1197227
Another routine example of this very common kind of two part mix problem



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 hazelnuts for 7.00 per pound and peanuts for 4.50 per pound how much of each type should be used to make a 24 pound mixture that sells for 5.54 per pound
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 nuts1 for H per pound and nuts2 for L per pound. how much of each type should be used to make a M pound mixture that sells for T per pound ?
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y pounds of nuts1 at H dollars per pound
M-y pounds nuts2 at L dollars per pound


{{{Hy+L(M-y)=TM}}}
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{{{Hy+LM-Ly=TM}}}
{{{Hy-Ly=TM-LM}}}
{{{(H-L)y=TM-LM}}}

{{{y=(TM-LM)/(H-L)}}}

{{{highlight_green(y=M((T-L)/(H-L)))}}}


Make these substitutions, for YOUR example:
T=5.54  dollars per pound
H=7.00  dollars per pound
L=4.50  dollars per pound
M=24   pounds


Evaluate y, and finish.