MHB Can an algebraic expression be made here.

[mathlearn]

The price of a mandarin is 20 and the price of a guava is 15. Find the number of mandarins and guavas that can be bought for 50.

(Thinking) So can an algebraic expression be made and the number of mandarin's and guavas that can be bought for 50.

Many Thanks (Happy)

 

[MarkFL]

Well, let $M$ be the number of mandarins and $G$ be the number of guavas, then we have:

$$20M+15G=50$$

Divide through by 5:

$$4M+3G=10$$

This is a Diophantine equation.

 

[mathlearn]

Well, let $M$ be the number of mandarins and $G$ be the number of guavas, then we have:

$$20M+15G=50$$

Divide through by 5:

$$4M+3G=10$$

This is a Diophantine equation.

Many Thanks (Happy), So I see that this is the maximum the equation can be simplified.