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Jose's Coffee Shop makes a blend that is a mixture of two types of coffee, Type A coffee costs Jose $4.10 per pound, and type B coffee costs $5.25 per pound.This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $635.20. How many pounds of type A coffee were used?Number of pounds of type A coffee?

Sagot :

Answer:

Let the type A coffee be

[tex]=x[/tex]

Let the type B coffee be

[tex]=y[/tex]

Three times as many pounds of type B coffee as type A, will be represented below as

[tex]y=3x[/tex]

The cost of type A coffee is

[tex]=\text{ \$4.10 per pound}[/tex]

The cost of type B is

[tex]=\text{ \$5.25 per pound}[/tex]

The total cost of both coffee is

[tex]=\text{ \$635.20}[/tex]

Hence,

The equation will be

[tex]\begin{gathered} 4.10x+5.25y=635.20 \\ 4.10x+5.25(3x)=635.20 \\ 4.10x+15.75x=635.20 \\ 19.85x=635.20 \\ \frac{19.85x}{19.85}=\frac{635.20}{19.85} \\ x=32 \end{gathered}[/tex]

Hence,

The number of pounds of type A coffee is = 32 pounds

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