Q20. - Algebra 2

Question

Compare the quantity in Column A and the quantity in Column B. Then determine whether:

A. the quantity in Column A is greater,

B. the quantity in Column B is greater,

C. the two quantities are equal, or 

D. the relationship cannot be determined from the information given.

The cost of 3 bananas and 2 apples is $1.50.

Column A	Column B
Cost of one apple	Cost of one banana

Step-by-Step Solution

Answer

The relationship cannot be determined from the information given. Option D is correct.

Step-1 – Apply the concept of linear equation of two variables

The linear equation in two variables involves two unknown variables and two equations are required to solve a system of linear equations in two variables.

Step-2 – Interpret the data

Consider the provided information. The cost of 3 bananas and 2 apples is $1.50.

The objective is to find the cost of one apple and one banana.

Let the cost of one apple be $x  and cost of one banana be $y. Here x and y are the unknown variables.

Since, 3 bananas and 2 apples costs $1.50, so mathematically it is expressed as.

$3x+2y=1.50$

Step-3 – Compare the columns A and B

Two equations are required to solve two unknown variable values. So, the question has insufficient data to solve the values.

Therefore, cost of one apple and one banana cannot be determined with just one equation.

Hence, the relationship cannot be determined from the information given.