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Is that the child's usual standard of drawing block diagrams? I must commend that it is very neat! Awesome! Anyway the block diagram was very close to the solution. Here is how I would continue:Reasoning: - the chocolate section is made up of 9 bars, so we can count 2 of the vanilla bars as 10 and 11 - that makes chocolate 9/11 of total remaining So the 4 bars is the 84 sold muffins. Each bar is 84/4 = 21. Total muffins baked is 15 bars = 15 x 21 = 315. CHECK chocolate vanilla TOTAL Before 3/5 x 315 = 189 2/5 x 315 = 126 315 After 189 126 - 84 = 42 231 Fraction = 189 / 231 = 9/11

Chocolate Muffins Vanilla Muffins Total
At first 3u 2u 5u
Sold -84
In the end 9p 2p
We know that the chocolate muffins remain unchanged so the ratios are equal.
So 9p = 3u => p =⅓ u
2u – 84 = 2(⅓ u ) (multiply both sides by 3)
6u – 252 = 2u
u = 252/4 = 63
Hence the total muffins baked = 5u = 5 x 63 = 315