Ratio Share Game
Divide a budget fairly in a ratio, reserve a portion, and then update allocations after a transfer.
Math puzzle challenges
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Instructions, device progress and accessibility
Choose Easy, Normal or Hard; use Practice or the shared UTC Daily seed. Enter answers on a keyboard or touchscreen, use Hint or Undo if needed, and press Check answer. Results save on your device when browser storage is available. Hints and Undo mark assisted rounds.
Local progress is checked when play begins.
How to play Ratio Share
Divide a budget fairly in a ratio, reserve a portion, and then update allocations after a transfer. Start with Easy to learn the rules, then choose Normal or Hard for more steps. Work through every displayed value before pressing Check answer. Hints and Undo are available, but assisted rounds do not replace an unaided best score.
Math explained: Ratios & Allocation
A budget of 94 units has a 4-unit reserve. Split the remaining 90 in 2:3 to get 36 and 54. Transfer 6 from Team B to Team A: final shares are 42 and 48.
Use the related calculators to practise calculations separately or verify the underlying mathematical method. The daily puzzle is deterministic for each UTC calendar day and difficulty; Practice creates new puzzles.
Worked example
A budget of 94 units has a 4-unit reserve. Split the remaining 90 in 2:3 to get 36 and 54. Transfer 6 from Team B to Team A: final shares are 42 and 48.
Tips for improving accuracy
Subtract the reserve, calculate one ratio part, multiply each share, and apply the transfer only after that split. Check dimensions and units as well as the number itself. The game works on desktops, tablets and phones without installing an application.
Frequently asked questions
Does a transfer change the total allocated?
No. A transfer moves units between recipients; the sum of all final allocations remains the unreserved amount.
Why do we remove the reserve first?
Only the available portion is divided by ratio; the reserved amount must stay untouched.