Question

The Sparkle Farm grows both corn and wheat, among other crops. The cost of cultivating an acre of corn and an acre of wheat is $42 and $30, respectively. The farm has a total of $18,564 in order to cultivate these two crops, however, the farm must grow three times as many acres of corn as wheat in order to qualify forspecific government subsidies. How many acres of wheat must be cultivated

Answer 1

Answer: 119

Explanation:

Let the acre of wheat to be cultivated be x.

Since the farm must grow three times as many acres of corn as wheat, therefore, corn = 3x

The information given can be used to form a equation as:

42(3x) + 30x = 18564

126x + 30x = 18564

156x = 18564

x = 18564/156

x = 119 acres of wheat