+36 Ahmad baked some chocolate and strawberry cupcakes in the ratio of 2:7. He sold 1/2 of the strawbery cupcakes in the moming. After that, he had 285 more strawberry cupcakes than chocolate cupcakes left. How many cupcakes did Ahmad bake in total?
+130037 Call the total number of cupcakes =T
2/9 T of the original batch were chocolate and 7/9 T of the original batch were strawberry
After selling (1/2) of the strawberry cupcakes he had (7/9)T * (1/2) = (7/18) T left
And that number was 285 more than the number of chocolate xupcakes
So
(7/18) T - 285 = (2/9)T
(7/18) - 285 = (4/18) T
(7/18 - 4/18) T = 285
( 3/18) T = 285
(1/6) T =286
T = 285 * 6 /1 = 1710 cupcakes were baked
