Question

last year the total number of students in school was 5000this years the number of boys increase by 5%and that of girls by 3%and the total number of student increased by 202 how many boys and girls were there in the school last year? (solve using two variables)​

Answer 1

Step-by-step explanation:

last year total number of students in a school was 5000.

b + g = 5000

g = -b + 5000

this year the number of boys increased by 5% and that of girls increased by 3%.

the total number of students increased by 202 to.

.05b + .03g = 202

how many boys and girls were there in a school last year.

Replace g = -b+5000

.05b + .03(-b+5000) = 202

.05b - .03b + 150 = 202

.02b = 202 - 150

.02b = 52

b = 52/.02

b = 2600 boys

and

b = 5000 - 2600

b = 2400 girls

:

:

Check

.05(2600) = 130

.03(2400) = 72

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total increase: 202