Latoya's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Latoya $5.85 per pound, and type B coffee costs $4.30 per pound.
This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $553.20.
Let, a pounds of type A coffee and b pounds of type B coffee were used.
Then,
[tex]\begin{gathered} 5.85a+4.30b=553.20 \\ b=4a \end{gathered}[/tex]Substituting in the first equation,
[tex]\begin{gathered} 5.85a+4.30(4a)=553.20 \\ 5.85a+17.2a=553.20 \\ 23.05a=553.20 \\ a=24 \end{gathered}[/tex]Hence, 24 pounds of type A coffee were used.
