Directions: Type the correct answer in each box. Use numerals instead of words. A farmer is planning to build a new barn that will contain a total of 32 pens that are either horse pens or cow pens. The farmer wants to have three times as many cow pens as horse pens.

Set up the two equations that can be used to find the number of horse pens, h, and cow pens, c, that the farmer is planning to have in his new barn. Let the equation that represents the total number of pens be referred to as constraint 1. Let constraint 2 refer to the equation that describes the ratio of the number of cow pens to horse pens.

Only constraint would be met if 7 horse pens and 21 cow pens are built.

Only constraint would be met if 9 horse pens and 23 cow pens are built.

To satisfy both constraints, the farmer should build
horse pens and cow pens.