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Bob's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Bob $5.75 per pound, and type B coffee costs $4.70 per pound.This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $834.70. How many pounds of type A coffee were used?Number of pounds of type A coffee:?

Respuesta :

Given:

Cost of type A coffee= $5.75 per pound

Cost of type B coffee= $4.70 per pound.

Total cost = $834.70

Let type A quantity be x pounds

Then type B quantity be 4x pounds.

Then total cost will be given by the equation,

[tex]5.75(x)+4.70(4x)=834.70[/tex]

Solving it,

[tex]\begin{gathered} 5.75x+18.8x=834.70 \\ 24.55x=834.70 \\ x=\frac{834.70}{24.55} \\ x=34 \end{gathered}[/tex]

Hence, the number of pounds of type A coffee used were x = 34 pounds.