Question

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?

Answer 1

Objective is to feed buns and hot dogs to 500 hundred people  

In a picnic

Let x be the number of packets   of buns and y be the number of packets of hot dogs  

Since one packet has 8 buns and 10 hot dogs, so we have 8x number of buns and 10y hot dogs  

Also 8x=10y(given)

Since we have to feed at least 500 people, we take x=64 and y=50 to make the minimum number of  

People to feed as 500

8×64=512 and 10×50= 500

Since the total number of buns and hot dogs are not equal, we need to increase the number of packets one by one accordingly to make the total number.

Take x=65 and y=52 we get

8×65=520

10×52=520

As number of buns and hot dogs are equal that is 520.

Therefore the required answer is (65,52).