Question

A recipe calls for 1/4 cup of butter. One ounce (oz) of butter is equivalent to 2 tablespoons (T), and there are 8 oz of butter in 1 cup. Which of the following statements correctly interpret the information provided?

a. The information provided gives the conversion factor 8oz/2T.
b. The information provided gives the conversion factor 8oz/1 cup.
c. The recipe requires 64 T of butter.
d. The recipe requires 4T of butter.

Answer 1

Answer:

D

Explanation:

8oz=1cup

Xoz=1/4cup

cross multiply

Xoz=8×1/4=2

2oz=1/4cup

1oz=2T

2oz=x

cross multiply

×=2×2=4T

Answer 2

The cup of butter, number of tablespoons and ounces of butter are all in direct proportion with one another. The interpretation of the information provided is:

(b). The information provided gives the conversion factor 8oz/1 cup.

Given that:

$1\ recipe = \frac{1}{4}\ cup$

$1\ oz = 2T$

$8\ oz = 1\ cup$

Multiply both sides of $1\ oz = 2T$ by 8

$8 \times 1oz = 8 \times 2T$

$8 oz = 16T$

Substitute 8oz for 1 cup in: $1\ recipe = \frac{1}{4}\ cup$

$1\ recipe = \frac{1}{4} \times 8oz$

Substitute $8 oz = 16T$

$1\ recipe = \frac{1}{4} \times 16T$

$1\ recipe = 4T$

The interpretations are as follows:

• $1\ recipe = 4T$ means that 1 recipe requires 4T of butter
• $8\ oz = 1\ cup$ means that the information provided gives a conversion of 8oz/1 cup

Hence, (b) is correct

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