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klemol [59]
3 years ago
9

A recipe uses 1/4 cup of sugar for every 1/2 teaspoon of cinnamon . What is the unit rate in teaspoons per cup?

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
5 0

Answer:

Step-by-step explanation:

1/4 cup of sugar = 1/2 tea spoon. (1)

Multiplying both sides by 4, we have

1/4 * 4 cup of sugar = 1/2 * 4 tea spoon. (2)

1 cup of sugar = 2 tea spoon

( Required answer)

Vitek1552 [10]3 years ago
4 0

Answer:

Step-by-step explanation:

The "teaspoons per cup" ratio, written symbolically, is

t

--- teaspoons/cup

c

Here 1/2 teaspoon of cinnamon is associated with 1/4 cup of sugar.  Therefore we have the ratio:

  1/2 teaspoon cinnamon           1            4     teaspoon of cinnamon

--------------------------------------- =  -------- * -------- ------------------------------------

          1/4 cup sugar                     2           1         cup of sugar

This reduces to:

 2 teaspoons cinnamon

-------------------------------------

        1 cup sugar

and is the desired unit rate in teaspoons of cinnamon per cup of sugar.

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In a flock of geese there are 7 female geese for every 4 male geese. There are 21 female geese. What is the total number of gees
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This question is incomplete.

Complete Question

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

Answer:

280 tons of wood.

Step-by-step explanation:

From the above question:

To make 1 ship = we require 40 tons of wood.

1 ship = can accommodate 300 sailors.

Step 1

If :

300 sailors = 1 ship

2100 sailors = y ships

Cross Multiply

300 × y ships = 1 ship × 2100 sailors

y ships = 2100 / 300

y ships = 7

Hence, 2100 sailors can occupy 7 ships.

Step 2

We are told in the question that:

Astrid wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

If:

1 ship = 40 tons of wood

Since 7 ships can accommodate 2100 sailors,

7 ships =

7 × 40 tons of wood = 280 tons of wood.

Therefore , Astrid needs 280 tons of wood to accommodate 2100 sailors.

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