Question

Diego hosted a spaghetti dinner for the soccer team. He made 7 boxes of spaghetti to feed the 20 people that came. Next time, 50 people are coming! How many boxes of spaghetti should Diego buy to feed all those people?

A) 12 boxes
B) 18 boxes
C) 25 boxes
D) 35 boxes

Answer 1

Deriving from the initial meal of 7 boxes of spaghetti for 20 people, we establish a direct proportionality to determine that 18 boxes (rounded up from 17.5) are needed to serve 50 people.

Step-by-step explanation:

The question asks us to calculate how many boxes of spaghetti Diego should buy to feed 50 people, considering that he previously used 7 boxes for 20 people. To find the answer, we use a proportion since the number of people and the number of boxes needed are directly proportional. The calculation goes as follows:

7 boxes / 20 people = x boxes / 50 people

Now, we cross-multiply to solve for x:

7 boxes × 50 people = 20 people × x boxes

350 = 20x

Divide both sides by 20 to find x:

x = 350 / 20

x = 17.5

Since Diego cannot buy half a box, he should round up to ensure he has enough food for everyone. Therefore, Diego should buy 18 boxes of spaghetti.

Choice B) 18 boxes is the correct answer.