Question

Beth wants to buy some walnuts and pecans to make a snack mix for a party. Walnuts cost $2.00 per pound and pecans cost $3.50 per pound. Write a system of inequalities and graph it to describe all the possible weight combinations of the nuts Beth can buy while spending $21 or less. Use x to represent the number of pounds of walnuts and y to represent the number of pounds of pecans.

Answer 1

The system of inequalities and graph to describe all the possible weight combinations of the nuts Beth can buy while spending $21 or less is 2x + 3.50y ≤ 21.

How to write system of inequality?

An inequality is a statement that of two quantities one is specifically less than or greater than another.

Let

x represent the number of pounds of walnuts

y represent the number of pounds of pecans

Cost of each pound of walnuts = $2

Cost of each pound of pecan = $3.50

Total to spend ≤ 21

The inequality:

2x + 3.50y ≤ 21

Therefore, 2x + 3.50y ≤ 21 is the inequality which represents the situation.