a brother and sister share out their collection of 5000 stamps in the ratio 5:3. The brother then shares his stampswith two friends in the ratio 3:1:1, keeping most for himself. How many stampsdoes he keep for himself?
hello93
Let one part of the stamps be x. 5x+3x=5000; 8x=5000 x=625 brother will receive 5 × 625=3125 stamps 3x+x+x=3125 5x=3125 x=625 He will keep 3×625=1875 stamps
Answers & Comments
1) 5000 * (5 / (5+3) ) = 5000 * 5/8 = 3125
2) 3125 * (3 / (3+1+1) ) = 3125 * 3/5 = 1875
5x+3x=5000;
8x=5000
x=625
brother will receive 5 × 625=3125 stamps
3x+x+x=3125
5x=3125
x=625
He will keep 3×625=1875 stamps