Question

Sofia and her children went into a grocery store that sells bananas for $0.80 each and mangos for $2 each. Sofia has $20 to spend and must buy a minimum of 12 bananas and mangos altogether. If xx represents the number of bananas purchased and yy represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

Using graphical method to solve the system of inequality, the number of banana is 2 and mango is 10

System of Linear Inequality

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

In this question, we can set the unknown variables as;

• x = Number of banana
• y = Number of Mango

0.2x + 2y = 20 ...eq(i)

x + y ≥ 12 ..eq(i)

Solving x and y

This can be done graphically;

The number of banana and mango is approximately 2 and 10 respectively

Kindly find the attached graph below

Learn more on system of linear inequality here;

brainly.com/question/23093488

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