๐Ÿฅœ Trail Mix Factory

Design the recipe, scale the batch, price the bag โ€” where perfect ratios make perfect mix.

REMEMBER: A ratio is a multiplying relationship. To scale a recipe, multiply BOTH parts by the same number โ€” adding the same amount to both parts changes the taste! A unit rate tells you the amount for exactly ONE. And percent just means "per 100."

Part 1 ยท The Recipe Mixer

Build your signature mix! Set the cups of ๐Ÿฅœ peanuts and ๐Ÿ‡ raisins in ONE batch, then crank up the batch count. The double number line and ratio table stay locked to your recipe โ€” watch how everything scales by multiplying.

Part 2 ยท The Taste Tester's Challenge

Batches roll off the line claiming to match the official recipe. Some are honest scale-ups... some are BROKEN. Commit your verdict before the reveal โ€” then the tester divides each ingredient to expose the truth.

Correct verdicts: 0

Part 3 ยท Factory Machines

Three machines keep the factory running. Feed each one your numbers โ€” every machine prints its steps and the why.

A shipment of bags and its total cost go in โ€” BOTH unit rates come out.

Give it the recipe and how many cups of peanuts the order needs โ€” it finds the multiplier, then the raisins.

Percent means per 100. This machine runs both directions: find the part, or find the whole.

Part 4 ยท Factory Floor Quiz

Question 1 of 10 Score: 0

๐Ÿ“— Word Box

Ratio
A multiplying comparison between two quantities, written 3:2, 3 to 2, or 3/2. Order matters!
Equivalent ratios
Ratios that describe the same relationship, made by MULTIPLYING both parts by the same number: 3:2 = 6:4 = 9:6.
Rate
A ratio comparing two DIFFERENT kinds of units, like dollars per bag or miles per hour.
Unit rate
A rate scaled down so the second quantity is exactly 1 โ€” the price of ONE bag, the miles in ONE hour.
Double number line
Two parallel number lines whose tick marks stay lined up โ€” a picture of two quantities scaling together.
Ratio table
A table of equivalent ratios. Every column is the recipe multiplied by some number.
Tape diagram
A bar cut into equal pieces showing a ratio's parts โ€” 3 peanut pieces and 2 raisin pieces make a 3:2 mix.
Percent
A ratio out of 100. 30% means 30 per every 100 โ€” as a decimal, 0.30.
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