Ye Olde Coffee Shop sells Colombian Coffee for $9.25 per pound. Brazilian Coffee sells for $7.75 per pound. The management wishes to mix 6 pounds of Colombian Coffee with an amount of Brazilian Coffee so that the mixture sells for $8.25 per pound.

Pounds Price per Pound

Total Price

Columbian

Brazilian

Mixture

1. How many pounds of Brazilian Coffee should be mixed with 6 pounds of Colombian Coffee to get

mixture?

12 pounds

Step-by-step explanation:

Colombian Coffee sells for $9.25 per pound. Brazilian Coffee sells for $7.75 per pound.

The management wishes to mix 6 pounds of Colombian Coffee with an amount of Brazilian Coffee so that the mixture sells for $8.25 per pound.

Hence:

Let the number of pounds of Brazilian coffee be represented by = a

$9.25× 6 + $7.75 × a= $8.25 (a + 6)

55.5 + 7.75a = 8.25a + 49.5

Collect like terms

8.25a - 7.75a = 55.5 - 49.5

0.5a = 6

a = 6/0.5

a = 12 pounds

Therefore, 12 pounds of Brazilian Coffee should be mixed with 6 pounds of Columbian nuts

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