Sam and Adam share some money in the ratio 2:5. Adam got 12 more than Sam. Work out how much money Sam received.

Answer 1

A = 12 + S

S= (2/5)A

S= (2/5)(12+S)

5S = 24 + 2S

3S = 24

S = 24/3 = 8 = what Sam received

A= 8+12 = 20 = what Adam received

8:20 is the same as 2:5

divide both 8 and 20 by 4 to get the 2 to 5 ratio