MarkFL said:Well, let $M$ be the number of mandarins and $G$ be the number of guavas, then we have:
\(\displaystyle 20M+15G=50\)
Divide through by 5:
\(\displaystyle 4M+3G=10\)
This is a Diophantine equation.
Yes, an algebraic expression can be made in many situations. Algebraic expressions are used to represent mathematical relationships and can be created using variables, constants, and mathematical operations.
An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations. It does not have an equal sign and cannot be solved, but it can be simplified.
To create an algebraic expression, you need to identify the mathematical relationship between the quantities involved and represent them using variables. Then, use mathematical operations to show how the variables are related.
An algebraic expression only shows a relationship between quantities, while an equation shows that two expressions are equal. Equations can be solved to find the value of the variables, while expressions cannot.
Algebraic expressions are used in science to represent relationships between variables and to make predictions or calculations. They are commonly used in physics, chemistry, and engineering to describe and solve problems relating to quantities and their relationships.