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
