Question

The Grade 6 students at West Village Middle School were asked if they would rather visit the Museum of Math or the Museum of Natural History. The ratio of students who chose the Museum of Math to students who chose the Museum of Natural History was 3 to 1. The number of students who chose the Museum of Math was 50 more than the number of students who chose the Museum of Natural History. How many Grade 6 students were asked in total?

Answer 1

The number of Grade 6 students were asked in total is 100 students.

How to calculate the value?

Let the number of students who choose Natural History be x.

Since the number of students who chose the Museum of Math was 50 more than the number of students who chose the Museum of Natural History. This will be x + 50

The ratio of students who chose the Museum of Math to students who chose the Museum of Natural History was 3 to 1. The expression will be illustrated thus:

1/3 = x/x+50

Cross multiply

3x = x + 50

Collect like terms

3x - x = 50.

2x = 50

Divide

x = 50/2

x = 25

Also, x + 50 = 25 + 50 = 75

The number of Grade 6 students that were asked will be:

= 25 + 75

= 100

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