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.
65M + B = 3200
40M + 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!
