Question

Consider a picnic. If you want to buy enough hot dogs and buns without having any left over, you need to balance the number of packages of buns (which usually contain 8 buns) with the number of packages of hot dogs (which usually contain 10 dogs).What is the smallest number of packages of buns and hot dogs you need, respectively?Express your answer as two integers separated by a comma.Part B: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?Express your answer as two integers separated by a comma.Part C:For another picnic, you want to make hamburgers with pickles, again without having any left over. You need to balance the number of packages of buns (which usually contain 8 buns) with the number of packages of hamburger patties (which usually contain 12 patties) and the number of jars of pickles (which contain 18 slices). Assume that each hamburger needs three pickle slices.What is the smallest number of packages of buns, packages of patties, and jars of pickles, respectively?Express your answer as three integers separated by commas.Part D:In Part C, you determined that the proper ratio of packages of buns, packages of patties, and jars of pickles is 3:2:4. If you want to feed at least 420 people, but also maintain the proper ratio, what minimum number of packages of buns, packages of patties, and jars of pickles do you need, respectively?Express your answer as three integers separated by commas.

Answer 1

Check the explanation

Explanation:

Part (A)

Kindly check the First attached image below to get the explanation the part A question.

Part (B)

As calculated in part (A), if we have 40 numbers of buns and hot dogs, there are no leftovers.

So every multiple of 40, will ensure no leftovers.

40, 80, 120, 160, 200, 240, 280, 320...

since 300 people are attending, 320 such buns and hot dogs are required.

packages of Bun = 320/8 = 40

packages of hot dogs = 320/10 = 32

(bun package,hot dog package) = (40,32)

Part (D)

In part (C), it came out the ratio

(buns packages : patties packages : jar of pickles) = (3:2:4)

Kindly check the Second attached image below

so to feed 420 people,

24*k > 420 such that minimum value of k

k = 18

so total 432 hamburgers will be formed.

Bun packages = 432/8 = 54

Patties packages = 432/12 = 36

Pickle jar = 432/6 = 72

so answer is (bun package, patties package, pickle jar) = (54,36,72)