Question

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 300 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

Answer: packages of buns: 100

              packages of patties: 67

               jars of pickles: 133

(100,67,133)

Step-by-step explanation: packages of buns: B

                                            packages of patties: P

                                            jars of pickles: J

B:P:J = 3:2:4

B + P + J = 300

Let x be the number we must multiply the numbers to obtain the quantity and keep the ratio.

Bx + Px + Jx = 300

3x + 2x + 4x = 300

x = 300/9

So,

3.300/9 = 100

2.300/9 = 66.6666

4.300/9 = 133.333

As we cannot buy 0.666 or 0.33 of patties and pickles, we round up

So: packages of buns: 100

              packages of patties: 67

               jars of pickles: 133