Question

The cafeteria at Local Middle School offers a choice of either a sandwich or soup every Thursday. Of all students who purchased lunch this Thursday, 30 chose a sandwich. If the ratio of students who chose a sandwich to all of those who chose soup was 6:5, how many of the students had soup for lunch?

Answer 1

Answer:

25

Step-by-step explanation:

Answer 2

Answer:

25 students had soup for lunch

Step-by-step explanation:

Sandwich : soup

Of all students who purchased lunch this Thursday, 30 chose a sandwich

Let x = number of students who choose soup

Sandwich : soup = 30 : x

If the ratio of students who chose a sandwich to all of those who chose soup was 6:5

Sandwich : soup = 6 : 5

how many of the students had soup for lunch?

Equate both ratios

Sandwich : soup

30 : x = 6 : 5

30 / x = 6 / 5

Cross product

30 * 5 = x * 6

150 = 6x

Divide both sides by 6

x = 150 / 6

= 25

x = number of students who choose soup = 25 students