Math New Drill (Level 1) : Sum and difference Problem 2(3) TOHO-2014

The price of pork 150g and beef 300g is 1500 yen.

The price of pork 250g and beef 150g is 1240 yen.

Find the price of pork 100g and beef 100g respectively.











Answer
Pork : 280 yen, Beef : 360 yen

Solution
According to pork250g + beef150g = 1240 yen, pork500g + beef 300g = 2480 yen.
As pork 150g + beef 300g = 1500g, pork350g = 2480 - 1500 = 980 yen.
Thus pork 100g = 980 / 350 × 100 = 280 yen.
Beef 300g = 2480 - 280 × 5 = 1080.
Therefore beef 100g = 1080 / 3 = 360g.