Question

3. Elena is ordering dried chili peppers and corn husks for her cooking class. Chilipeppers cost $16.95 per pound and corn husks cost $6.49 per pound. Elenaspends less than $50 on d pounds of dried chili peppers and h pounds of cornhusks. Here is a graph that represents this situation.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

chili peppers = $16.95/lb

corn husks = $6.49/lb

total money = $50

Step 02:

Inequality:

16.95d + 6.49h < $50

Step 03:

If d = 2 lb and h = 4 lb:

16.95d + 6.49h < $50

16.95(2) + 6.49(4) < $50

33.9 + 25.96 < 50 The inequality is not fulfilled.

59. 86 < 50

Elena cannot buy those amounts for $50, because she doesn't have enough money.

Step 04:

If d = 1.5 lb and h = 3 lb:

16.95d + 6.49h < $50

16.95(1.5) + 6.49(3) < $50

24.425 + 19.47 < 50 The inequality is fulfilled.

43.895 < 50

Elena can buy those amounts for $50, because she has enough money.

That is the full solution.