Question

(i) Given that a printer prints 5 pages less in the second minute to what it prints in the first minute. Given that it prints 77 pages in two minutes, how many pages does it print in the first minute?

(ii) The length of a rectangle is 4 metres less than three times the breadth of the rectangle. Express the breadth in terms of length. [4 MARKS]

Answer 1

Each option: 2 Marks

(i) Let the number of pages printed in first minute $=x$
Number of pages printed in the second minute $=x-5$
Total number of pages printed in the first two minutes $=x+x-5$
$\Rightarrow 2x-5=77$
$\Rightarrow 2x=77+5$
$\Rightarrow 2x=82$
$\Rightarrow x=41$

(ii) Let L and B be length and breadth of the rectangle respectively
Given L = 3B - 4
Adding 4 to both sides
L+4 =3B -4 + 4
L + 4 = 3B
Dividing both sides by 3, we get,
$B=\frac{L+4}{3}$