Question

A booth at the circus is taking donations for the children's hospital. They noticed on Saturday that more than 248 people donated money. Women averaged a donation of $10, and men averaged a donation of $15.

Which system of inequalities could be used to determine the number of women (w) and men (m) who donated, if no more than $3,130 was donated?
A.


B.


C.


D.


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Answer 1

The system of inequalities that could be used to determine the number of women (w) and men (m) who donated, if no more than $3,130 was donated is:

10w + 15m > 248

w + m < 213

10w + 15m < 3130

This system of inequalities can be used to model the scenario you've described, where the booth at the circus took donations for the children's hospital, and more than 248 people donated money. The first inequality states that the total number of donations from women (w) multiplied by $10 and the total number of donations from men (m) multiplied by $15 should be greater than 248. The second inequality states that the total number of women (w) and men (m) should be less than 213. The third inequality states that the total amount donated by women (w) multiplied by $10 and total amount donated by men (m) multiplied by $15 should be less than $3,130.

Therefore, the correct answer is option A. ✅