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).
