Question

Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?
Number of pounds of type A coffee:

Answer 1

9514 1404 393

Answer:

  32 pounds

Step-by-step explanation:

Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...

  4.35a +5.80(2a) = 510.40

  15.95a = 510.40 . . . . collect terms

  a = 32 . . . . . . . . . . . divide by 15.95

Number of pounds of type A coffee: 32.