john asks thabo how many learners there are in his class.thabo answers:"if you take twice our number, plus half of our number, plus a quater of our number, plus 1, the answer is 100. how many learners are there in thabo's class?
OK, let's do some maths on this.
twice our number, plus half of our number, plus a quater of our number, plus 1, the answer is 100
now put N as the value of that number, then
twice N, plus half of N, plus a quater of N, plus 1, makes the answer equal to 100
now make an equation out of it.
2 * N + (1/2) * N + (1/4) * N + 1 = 100
weite this more compactly as
2N + N/2 + N/4 + 1 = 100
Take out N as a common factor.
N(2 + 1/2 + 1/4) + 1 = 100
add up the numbers
N(2 3/4) = 99
N(11/4) = 99
N(1/4) = 9
N = 36