Answer:
Step-by-step explanation:
Let M be the number of men donors and W the number of women donors.
We are told that M + W => 217 {"They noticed on Saturday that more than 217 people donated money."]
The total donations of no more than $3,702 consists of Men: ($16)M and Women: ($18)W
This makes the following equation:
18W + 16M <= 3702 ["no more than $3,702 was donated"]
The two equations are:
18W + 16M <= 3702, and
M + W => 217
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Extra credit:
To find the number of men and women donors, let's assume the equations are correct without the inequality signs.
Rearrange:
M + W => 217
M = 217-W
Now use this definition of M in the second equation:
18W + 16(217-W) = 3702
'
Solve for W: W = 115: There were 115 women donors at $18 each: $207.
That means 217 - 115 or 102 men at $16 each: &1632
Total donations of $3702
