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Coffee Ratio worksheet

Grade 6 · CCSS 6.RP.A.3, 6.RP.A.1

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Brew method: Espresso, dose to yield (1:2)
- I know: The water amount
- Water: 700 mL (= grams)
Find: Ground coffee
Answer
2.
Problem 2.
- Brew method: Espresso, dose to yield (1:2)
- I know: The coffee amount
- Ground coffee: 34 g
Find: Espresso yield (drink weight)
Answer
3.
Problem 3.
- Brew method: Pour-over / drip (1:16)
- I know: How many cups to make
- Number of cups: 2
- Size of each cup: 8 US fl oz
Find: Ground coffee
Answer
4.
Problem 4.
- Brew method: Pour-over / drip (1:16)
- I know: How many cups to make
- Number of cups: 2
- Size of each cup: 9 US fl oz
Find: Ground coffee
Answer
5.
Problem 5.
- Brew method: Espresso, dose to yield (1:2)
- I know: How many cups to make
- Number of cups: 3
- Size of each cup: 6 US fl oz
Find: Ground coffee
Answer
6.
Problem 6.
- Brew method: Pour-over / drip (1:16)
- I know: The coffee amount
- Ground coffee: 25 g
Find: Brewing water
Answer
7.
Problem 7.
- Brew method: Espresso, dose to yield (1:2)
- I know: The coffee amount
- Ground coffee: 36 g
Find: Espresso yield (drink weight)
Answer
8.
Problem 8.
- Brew method: French press (1:15)
- I know: The coffee amount
- Ground coffee: 45 g
Find: Brewing water
Answer
9.
Problem 9.
- Brew method: Custom ratio
- Water per 1 part coffee (1 : x): 13
- I know: The coffee amount
- Ground coffee: 40 g
Find: Brewing water
Answer
10.
Problem 10.
- Brew method: Pour-over / drip (1:16)
- I know: The coffee amount
- Ground coffee: 37 g
Find: Brewing water
Answer

Answer key: Coffee Ratio worksheet

1. Ground coffee: 350 g
1. Water weighs about 1 g per mL, so divide it by x from the ratio (1:2) to get the coffee
  $\frac{700 g}{2}$ $= 350 g$
2. For espresso, the ratio compares the dry coffee (the dose) with the weight of the finished drink
  $dose : yield = 1:2$
2. Espresso yield (drink weight): 68 g
1. The ratio (1:2) says the water weighs x times the coffee, so multiply the coffee by x
  $34 g \times 2$ $= 68 mL$
2. For espresso, the ratio compares the dry coffee (the dose) with the weight of the finished drink
  $dose : yield = 1:2$
3. Ground coffee: 29.6 g
1. Find the total water: multiply the number of cups by each cup's size in mL (1 US fl oz = 29.5735 mL)
  $2 \times 236.5882 mL$ $= 473.176473 mL$
2. Water weighs about 1 g per mL, so divide it by x from the ratio (1:16) to get the coffee
  $\frac{473.176473 g}{16}$ $= 29.57353 g$
3. Spent grounds hold back roughly 2 g of water per gram of coffee, so expect a little less in the cup
  $473.176473 - 2 \times 29.57353$ $= 414.029414 mL$
4. Ground coffee: 33.3 g
1. Find the total water: multiply the number of cups by each cup's size in mL (1 US fl oz = 29.5735 mL)
  $2 \times 266.1618 mL$ $= 532.323532 mL$
2. Water weighs about 1 g per mL, so divide it by x from the ratio (1:16) to get the coffee
  $\frac{532.323532 g}{16}$ $= 33.270221 g$
3. Spent grounds hold back roughly 2 g of water per gram of coffee, so expect a little less in the cup
  $532.323532 - 2 \times 33.270221$ $= 465.783091 mL$
5. Ground coffee: 266.2 g
1. Find the total water: multiply the number of cups by each cup's size in mL (1 US fl oz = 29.5735 mL)
  $3 \times 177.4412 mL$ $= 532.323532 mL$
2. Water weighs about 1 g per mL, so divide it by x from the ratio (1:2) to get the coffee
  $\frac{532.323532 g}{2}$ $= 266.161766 g$
3. For espresso, the ratio compares the dry coffee (the dose) with the weight of the finished drink
  $dose : yield = 1:2$
6. Brewing water: 400 mL
1. The ratio (1:16) says the water weighs x times the coffee, so multiply the coffee by x
  $25 g \times 16$ $= 400 mL$
2. Spent grounds hold back roughly 2 g of water per gram of coffee, so expect a little less in the cup
  $400 - 2 \times 25$ $= 350 mL$
7. Espresso yield (drink weight): 72 g
1. The ratio (1:2) says the water weighs x times the coffee, so multiply the coffee by x
  $36 g \times 2$ $= 72 mL$
2. For espresso, the ratio compares the dry coffee (the dose) with the weight of the finished drink
  $dose : yield = 1:2$
8. Brewing water: 675 mL
1. The ratio (1:15) says the water weighs x times the coffee, so multiply the coffee by x
  $45 g \times 15$ $= 675 mL$
2. Spent grounds hold back roughly 2 g of water per gram of coffee, so expect a little less in the cup
  $675 - 2 \times 45$ $= 585 mL$
9. Brewing water: 520 mL
1. The ratio (1:13) says the water weighs x times the coffee, so multiply the coffee by x
  $40 g \times 13$ $= 520 mL$
2. Spent grounds hold back roughly 2 g of water per gram of coffee, so expect a little less in the cup
  $520 - 2 \times 40$ $= 440 mL$
10. Brewing water: 592 mL
1. The ratio (1:16) says the water weighs x times the coffee, so multiply the coffee by x
  $37 g \times 16$ $= 592 mL$
2. Spent grounds hold back roughly 2 g of water per gram of coffee, so expect a little less in the cup
  $592 - 2 \times 37$ $= 518 mL$