Question

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The ratio of teachers to students in a particular school is 1 to 11. The ratio of female students to the total number of students is 4 to 9. If there are 396 female students, then how many teachers are there?

Answer 1

Answer:

81

Step-by-step explanation:

Set up a proportion to find how many total students there are [notice how females are on top and totals are on the bottom of the ratios]

$\frac{4}{9}$ = $\frac{396}{x}$ so cross multiply 4x = 396(9) so x = 891, if there are a total of 891 students and you need 1 teacher per 11 students then take 891/11 so you need 81 teachers.

You could set up another proportion 1/11 = x/891