For this picnic, you need to feed at least 300 people. If you want to feed everyone, but still have equal numbers of buns and hot dogs, what is the minimum number of packages of buns and hot dogs you need, respectively? hot dogs= 10, buns=8

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i hope you die

40 hot dogs,32 buns

For this picnic, you need to feed at least 500 people. If you want to feed everyone, but still have equal numbers of buns and hot dogs, what is the minimum number of packages of buns and hot dogs you need, respectively?

Express your answer as two integers separated by a comma.

For this picnic, you need to feed at least 300 people. If you want to feed everyone, but still have equal numbers of buns and hot dogs, what is the minimum number of packages of buns and hot dogs you need, respectively?

To determine the minimum number of packages of hot dogs and buns needed to feed at least 300 people while maintaining equal numbers of each, we need to find the least common multiple (LCM) of 10 and 8.

Step 1: Find the LCM of 10 and 8
To find the LCM, we can list the multiples of each number until we find a common multiple:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...

From the lists above, we can see that the common multiple of 10 and 8 is 40.

Step 2: Calculate the number of packages needed
Since we need to feed at least 300 people, we can divide 300 by the common multiple (40) to find the number of sets of 40 needed:

Number of sets = 300 / 40 = 7.5

Since we cannot have a fraction of a set, we need to round up to the nearest whole number. Therefore, we need a minimum of 8 sets of 40.

Each set consists of equal numbers of hot dogs and buns, so we need a minimum of 8 packages of hot dogs and 8 packages of buns to feed at least 300 people while maintaining equal numbers.

5x8=40

4x10=40

5 bun packages
4 hotdog packages