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Laura's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Laura $5.50 per pound, and type B coffee costs $4.20 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $602.10. How many pounds of type A coffee were used?

Respuesta :

giel

A: 5.50/p

B: 4.20/p

total 602.10

ratio 1:4 =5

602.10 ÷ 5 =120.42

A= 120.42

(B= 120.42×4= 481.86)

120.42÷ 5.50= 21.8945.....

luisejr77

Answer: 27 pounds

Step-by-step explanation:

We know that Coffee A costs $5.50 per pound, Coffee B costs $4.20 per pound and that this month the total cost was $602.10, then:

[tex]5.50A+4.20B=602.10[/tex]  (2)

We know that this month were used used four times as many pounds of type B coffee as type A, then:

[tex]B=4A[/tex]  (1)

So, you need to substitute (1) into (2) and solve for A:

[tex]5.50A+4.20(4A)=602.10\\22.3A=602.10\\A=27[/tex]

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