he Springfield Friends Foundation collects donations of money. They spend every dollar they receive on programs for different community charities. Donations are recorded as positive values. The costs of programs are recorded as negative values. For the last month, the records show that the Foundation received donations of $250, $1,000, $500, and a fourth donation that was incorrectly recorded. The foundation used all four donations to fund a program. The cost of the program was listed as - $2,000, and they had nothing left over. What was the value of the fourth donation?

Question

Carly Choi

Mathematics

3 June, 00:24

he Springfield Friends Foundation collects donations of money. They spend every dollar they receive on programs for different community charities. Donations are recorded as positive values. The costs of programs are recorded as negative values. For the last month, the records show that the Foundation received donations of $250, $1,000, $500, and a fourth donation that was incorrectly recorded. The foundation used all four donations to fund a program. The cost of the program was listed as - $2,000, and they had nothing left over. What was the value of the fourth donation?

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Answers (1)

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Jordan Bridges · Answer 1

Answer: The fourth donation was $250

Step-by-step explanation: Note that doantions are recorded as positive values and the costs are recorded as negative values. They received four donations and used up all money collected without any leftover.

The donations received were as follows;

250 + 1000 + 500 + x

The total amount spent was 2000 (recorded as a negative value)

Therefore the fourth donation which is x can be calculated as follows;

250 + 1000 + 500 + x = 2000

1750 + x = 2000

Subtract 1750 from both sides of the equation

x = 250

The value of the fourth donation is $250