Question

Tristan and his children went into a grocery store that sells bananas for $0.70 each and peaches for $2 each. Tristan has $20 to spend and must buy no less than 12 bananas and peaches altogether. If xx represents the number of bananas purchased and yy represents the number of peaches purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

The system of inequalities for the situation is x + y < 20 and 0.7x + 2y ≤ 20

Writing and solving a system of inequalities for the situation

From the question, we have the following parameters that can be used in our computation:

Spendings = At most $20

Unit rates = bananas for $0.70 each and peaches for $2 each.

Total = No more than 20

Let x represent bananas and y for peaches

For the count, we have

x + y < 20

For the spendings, we have

0.7x + 2y ≤ 20

Hence, the system of inequalities is x + y < 20 and 0.7x + 2y ≤ 20