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Sagot :
The system of Inequalities that represents the possible number of cupcakes and cookies that Allison should buy is;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
- We are told she desires to have at least 40 cupcakes and cookies combined.
We are told that;
a is the number of cupcakes
b is the number of cookies
Then this inequality is written as;
a + b ≥ 40
- Secondly, we are told she desires to have at most 5 more cupcakes than cookies.
Thus, the inequality would be;
a + 5 ≤ b
- Thirdly, we are told that cupcakes sell for $2.50 and cookies for $1.50
Therefore, the inequality is;
2.50a + 1.50b ≤ 105
In total, the 3 inequalities would be;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Read more at; https://brainly.com/question/19350665
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