Question

A booth at the circus is taking donations for the children's hospital. they noticed on saturday that more than 249 people donated money. women averaged a donation of $16, and men averaged a donation of $18.

which system of inequalities could be used to determine the number of women (w) and men(m) who donated, if no more than $4,268 was donated?

Answer 1

The system of inequalities could be used to determine the number of women and men who donated to the booth at the circus.

Step-by-step explanation:

To determine the number of women (w) and men (m) who donated, we can set up the following system of inequalities:

w + m > 249 (1)

16w + 18m <= 4268 (2)

Equation (1) represents the condition that more than 249 people donated, and equation (2) represents the condition that the total donation is no more than $4,268.

Answer 2

To determine the number of women (w) and men (m) who donated at a circus booth, we use two inequalities: w + m > 249 to represent that more than 249 people donated and 16w + 18m ≤ 4268 to represent the maximum amount of money donated.

Step-by-step explanation:

The question involves setting up a system of inequalities to figure out the number of women (w) and men (m) who donated money at a circus booth for a children's hospital, given certain conditions.

Since it is noted that more than 249 people donated, one inequality would be:

w + m > 249

Additionally, given that no more than $4,268 was donated with women donating an average of $16 and men an average of $18, the donation amounts can be represented by another inequality:

16w + 18m ≤ 4268

Therefore, the system of inequalities that could be used to determine the numbers of women and men who donated would be:

• w + m > 249
• 16w + 18m ≤ 4268