# A basket with 65 Sweets has a mass of 3200 g. The same basket with 40 sweets has a mass of 2125 g. Each sweet has the same mass. What is the mass of the basket?

##### 1 Answer

Oct 27, 2016

405g

#### Explanation:

This is a basic algebraic equation. If the mass of each sweet is M and the mass of the basket is B, then you have two equations in two unknowns that can be solved as linear equations.

65*M + B = 3200
40*M + B = 2125

Subtract the second equation from the first one to get: 25*M = 1075 ; M = 43

Substitute the value of M into the first equation to get: 65*43 + B = 3200 ; 2795 + B = 3200 ; **B = 405**

**CHECK** by putting both values into the second equation: 40*43 + 405 = 2125 ?? 1720 + 405 = 2125? **2125 = 2125 CORRECT!**