Math New Drill (Level 2) : Sum and Difference Problem 8 OTSUMA-2014

At a certain confectionery, sugar 50g and flour 110g are used for making one box of cookie. 

Moreover, sugar 75g and flour 85g are used for making one box of madeleine. 

In order to make several boxes of cookie and madeleine, 1300g of sugar and 1900g of flour are used. 

How many pieces of box of madeleine made.   



Answer
12 pieces

Solution
Number of pieces of box of cookie and madeleine are set to be X and Y respectively. 

50X +75Y = 1300 ---① and 110X + 85Y = 1900 ---② 

① × 11 - ② × 5 

Then 400Y = 4800. 

Therefore Y = 4800/400 = 12 pieces.