Question

In a school, the number of girls is 70 more than boys. the total number of students is 1280. find the number of girls and boys

Answer 1

Explanation:

Conditions

Let the girls = g

Let the boys = b

Equations

g + b = 1280

g = b + 70

Solution

Put the value for the girls (second equation) into the first equation.

b + 70 + b = 1280 Subtract 70 from both sides

b + 70 - 70 + b = 1280 -70 Combine

2b = 1210 Divide both sides by 2

2b/2 = 1210/2

b = 605 Substitute this value into the top equation

g + 605 = 1280 Subtract 605 from both sides

g + 605 - 605 = 1280 - 605

g = 675

Answer

# boys = 605

# girls = 675