A city has 8,958 recycle bins. The city gives half of the recycle bins to its citizens. The rest of the recycle bins are divided into 25 equal groups for city parks. How many recycle bins are left over?

asked 2021-01-07
A city has 8,958 recycle bins. The city gives half of the recycle bins to its citizens. The rest of the recycle bins are divided into 25 equal groups for city parks. How many recycle bins are left over?

Answers (1)

If the city has 8,958 recycle bins and gives half of them to its citizens, then \(\displaystyle{\frac{{{1}}}{{{2}}}}\times{8},{958}={4},{479}\) bins are given to its citizens and 4,479 bins are kept by the city.
If the city takes the remaining 4,479 bins and divides them into 25 equal groups to give to the city parks, then you need to find the largest multiple of 25 that is less than 4,479. Multiples of 25 end in 00, 25, 50, or 75 so 4,475 is the largest multiple of 25 that is less than 4,479.
The number of recycle bins that are left over after giving them to the citizens and the city park is then 4,479−4,475=4 bins.

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