We appreciate your visit to Mathematics and Literacy Conversion and Baking Mr Jackson from Messina sells peanut butter cookies to learners outside the school yard in the morning as well. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
We begin by noting that the recipe produces cookies in four dozen servings. Then we address each part step-by-step.
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1. Yield of Cookies
The recipe makes 4 dozen cookies.
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2. Converting 160 g of Peanut Butter to Ounces
We are given that
[tex]$$
1\,\text{ounce} = 28.35\,\text{grams}.
$$[/tex]
Thus, to convert 160 g to ounces we compute
[tex]$$
\text{Ounces} = \frac{160}{28.35} \approx 5.64374\,\text{ounces}.
$$[/tex]
---------------------------------------------------------------------
3. Ratio of Brown Sugar to All-Purpose Flour
According to the information, the amount of brown sugar is taken as 210 g and the all-purpose flour is 1.16 kg, which is
[tex]$$
1.16\,\text{kg} = 1160\,\text{grams}.
$$[/tex]
Thus, the ratio (brown sugar : flour) is
[tex]$$
\frac{210}{1160}.
$$[/tex]
This fraction simplifies by dividing the numerator and denominator by 10:
[tex]$$
\frac{210/10}{1160/10} = \frac{21}{116}.
$$[/tex]
In decimal form, this ratio is approximately
[tex]$$
\frac{210}{1160} \approx 0.18103.
$$[/tex]
---------------------------------------------------------------------
4. Cooking Duration in the Oven
The cookies are placed in the oven at 21:45 and taken out at 22:11. First, convert these times to minutes after midnight.
For 21:45:
[tex]$$
21 \times 60 + 45 = 1260 + 45 = 1305\,\text{minutes}.
$$[/tex]
For 22:11:
[tex]$$
22 \times 60 + 11 = 1320 + 11 = 1331\,\text{minutes}.
$$[/tex]
The cooking duration is
[tex]$$
1331 - 1305 = 26\,\text{minutes}.
$$[/tex]
---------------------------------------------------------------------
5. Converting [tex]$160^\circ C$[/tex] to Fahrenheit
The conversion formula is given by
[tex]$$
^\circ F = 1.8 \times (^\circ C) + 32.
$$[/tex]
Substitute [tex]$160^\circ C$[/tex] into the formula:
[tex]$$
^\circ F = 1.8 \times 160 + 32 = 288 + 32 = 320^\circ F.
$$[/tex]
---------------------------------------------------------------------
Final Answers
- The recipe makes 4 dozen cookies.
- [tex]$160\,g$[/tex] of peanut butter is approximately [tex]$5.64374\,\text{ounces}$[/tex].
- The ratio of brown sugar to all-purpose flour is [tex]$\frac{21}{116}$[/tex], which is approximately [tex]$0.18103$[/tex].
- The cookies were in the oven for [tex]$26$[/tex] minutes.
- A temperature of [tex]$160^\circ C$[/tex] is equivalent to [tex]$320^\circ F$[/tex].
---------------------------------------------------------------------
1. Yield of Cookies
The recipe makes 4 dozen cookies.
---------------------------------------------------------------------
2. Converting 160 g of Peanut Butter to Ounces
We are given that
[tex]$$
1\,\text{ounce} = 28.35\,\text{grams}.
$$[/tex]
Thus, to convert 160 g to ounces we compute
[tex]$$
\text{Ounces} = \frac{160}{28.35} \approx 5.64374\,\text{ounces}.
$$[/tex]
---------------------------------------------------------------------
3. Ratio of Brown Sugar to All-Purpose Flour
According to the information, the amount of brown sugar is taken as 210 g and the all-purpose flour is 1.16 kg, which is
[tex]$$
1.16\,\text{kg} = 1160\,\text{grams}.
$$[/tex]
Thus, the ratio (brown sugar : flour) is
[tex]$$
\frac{210}{1160}.
$$[/tex]
This fraction simplifies by dividing the numerator and denominator by 10:
[tex]$$
\frac{210/10}{1160/10} = \frac{21}{116}.
$$[/tex]
In decimal form, this ratio is approximately
[tex]$$
\frac{210}{1160} \approx 0.18103.
$$[/tex]
---------------------------------------------------------------------
4. Cooking Duration in the Oven
The cookies are placed in the oven at 21:45 and taken out at 22:11. First, convert these times to minutes after midnight.
For 21:45:
[tex]$$
21 \times 60 + 45 = 1260 + 45 = 1305\,\text{minutes}.
$$[/tex]
For 22:11:
[tex]$$
22 \times 60 + 11 = 1320 + 11 = 1331\,\text{minutes}.
$$[/tex]
The cooking duration is
[tex]$$
1331 - 1305 = 26\,\text{minutes}.
$$[/tex]
---------------------------------------------------------------------
5. Converting [tex]$160^\circ C$[/tex] to Fahrenheit
The conversion formula is given by
[tex]$$
^\circ F = 1.8 \times (^\circ C) + 32.
$$[/tex]
Substitute [tex]$160^\circ C$[/tex] into the formula:
[tex]$$
^\circ F = 1.8 \times 160 + 32 = 288 + 32 = 320^\circ F.
$$[/tex]
---------------------------------------------------------------------
Final Answers
- The recipe makes 4 dozen cookies.
- [tex]$160\,g$[/tex] of peanut butter is approximately [tex]$5.64374\,\text{ounces}$[/tex].
- The ratio of brown sugar to all-purpose flour is [tex]$\frac{21}{116}$[/tex], which is approximately [tex]$0.18103$[/tex].
- The cookies were in the oven for [tex]$26$[/tex] minutes.
- A temperature of [tex]$160^\circ C$[/tex] is equivalent to [tex]$320^\circ F$[/tex].
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