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Lera25 [3.4K]
3 years ago
10

he Springfield Friends Foundation collects donations of money. They spend every dollar they receive on programs for different co

mmunity 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?
Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

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

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A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
fredd [130]
Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.

Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

***So, the patrolman spends 2 hours each day completing paperwork.***

Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).

So

25% + 25% + 25% + 25% = 100%

If 100% of the mans shift = 8 hours:

2+2+2+2 = 8

It checks out!


Hope this helps!



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