Ratio Mixer Game
Share total quantities into correctly proportioned mixtures.
Math puzzle challenges
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Instructions, device progress and accessibility
Choose Practice or UTC Daily mode and select a difficulty. Use keyboard, touch, Tab, and Enter with the controls. Wrong checks reduce score; Hint and Undo mark assisted rounds. There is no required sign-in, and results remain on this device.
Local progress is checked when play begins.
How to play Ratio Mixer
Study the ratio of the ingredients and the required overall total. Divide the total by the sum of the ratio parts to find the multiplier. Multiply each ratio part by that factor and enter the amount of each ingredient.
The mathematics behind the game
If A:B = 2:3 and there are 25 units in total, the sum of parts is 5 and the multiplier is 25/5 = 5. The individual shares are 2 × 5 = 10 and 3 × 5 = 15.
Worked example
To prepare 42 units in a 2:5 ratio, add the ratio parts 2+5=7. Each part is 42/7=6, so use 12 units of the first ingredient and 30 of the second.
Tips to improve
Try Easy first to learn the steps without a timer. Move to Normal and Hard for larger numbers and more tasks. If you make a mistake, use Undo to reconsider the last move. A hint gives useful guidance but does not set an unaided personal best. Daily challenges offer the same seeded puzzle each UTC day on this device.
Frequently asked questions
What if a ratio has three ingredients?
Add all three ratio parts, divide the total by their sum, then multiply each part by that number.
Can the ingredient amounts be unequal?
Yes. The quantities must preserve the given ratio and together add to the specified total.