The ratio of chocolate mints to green mints in a bag is 3:5. After John ate half of the green mints and only one chocolate mint, the ratio of chocolate mint to green mint was 7:6. How many mints are left in the bag?
+29 Set x = chocolate mint, y = green mint
"The ratio of chocolate mints to green mints in a bag is 3:5" => (x/y) = (3/5) => 5x - 3y = 0 (1)
"After John ate half of the green mints and only one chocolate mint, the ratio of chocolate mint to green mint was 7:6"
=> (x - 1) / (y / 2) = (7 / 6) => 6x - (7/2)y = 6 (2)
solve the (1) and (2) as a set of equation
Then, x = 36, y = 60
Mint are left in the bag = (36 - 1) + (60/2) = 35 + 30 = 75 mints :)
