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Oksi-84 [34.3K]
2 years ago
9

Genie is making cookies and brownies. Each cookie uses 8 grams of flour and each brownie uses 12 grams of flour. She wants to ma

ke more than 125 cookies and brownies altogether. If Genie has a total of 2,000 grams of flour, which system of inequalities models correctly the number of cookies, c, and brownies, b, she can make? ) C+b> 125 A) 8c + 12b s 2000 c+b2 125 8c + 12b s 2000 B) c+b< 125 C) 8c + 12b s 2000 c+bs 125 D) 8c + 12b s 2000
Mathematics
1 answer:
Nikolay [14]2 years ago
8 0

The system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

Let c represent the number of cookies and let b represent the number of brownies.

Since Genie want to make more than 125 cookies and brownies altogether, hence this is given by:

c + b ≥ 125   (1)

Also, Genie has a total of 2,000 grams of flour, hence:

8c + 12b ≤ 2000  (2)

Therefore the system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

Find out more at: brainly.com/question/15137133?referrer=searchResults

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<h2>Answer:</h2>

<u><em>Let m be the amount each mom can paint and d be the amount each daughter can paint.</em></u>

<u><em>On the first day, 8 mothers were painting so the mothers painted 8m square feet. 12 daughters also painted so the daughters painted 12d square feet. The total amount painted on the first day is then 8m+12d square feet. Since 220 square feet was painted on the first day, then 8m+12d=220.  Dividing both sides by 4 gives a simplified equation of 2m+3d=55.</em></u>

<u><em>On the second day, 6 mothers were painting so the mothers painted 6m square feet. 8 daughters also painted so the daughters painted 8d square feet. The total amount painted on the second day is then 6m+8d square feet. Since 152 square feet was painted on the second day, then 6m+8d=152</em></u>

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<u><em>Multiply the first equation by -3 and then add it to the second equation to eliminate m and solve for d:</em></u>

<u><em>d=13</em></u>

<u><em>2m+3d=55</em></u>

<u><em>2m+3(13)=55</em></u>

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<u><em>m=8</em></u>

<u><em>Therefore each mom painted 8 square feet and each daughter painted 13 square feet.</em></u>

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