Campos should use 17.5 pounds of Kona beans and 7.5 Maui beans
Step-by-step explanation:
The sum of Kona and Maui beans = 25 pounds
Kona + Maui = 25 Pounds
let number of Kona beans = a
number of Maui beans = 25 - a
The cost of Kona beans per pound = $15
Total cost of a number of Kona beans = a × $15 = 15a
The cost of Maui beans per pound = $24
Total cost of Maui beans = 24 × (25 - a)
Amount of coffee blend = 25 pound
Cost of coffee blend per pound = $17.70
Total cost of 25 pound coffee bleend = 25 × 17.7
The equation:
Total cost of a number of Kona beans + Total cost of Maui beans = Total cost of 25 pound coffee blend
15a + 24 × (25 - a) = 25 × 17.7
15a + 600 - 24a = 442.5
collect like terms:
15a - 24a = 442.5 - 600
-9a = -157.5
Divide both sides by -9:
-9a/-9a = -157.5/-9
a = 17.5
Kona beans = 17.5 pounds
Maui beans = 25 - 17.5 = 7.5
Hence, Campos should use 17.5 pounds of Kona beans and 7.5 Maui beans