PSLE Archie spent
13 of his money to buy 3 identical notebooks. He spent the rest of his money to buy another 5 such notebooks and 2 identical pens.
- What fraction of Archie's money was spent to buy the 2 pens? Give your answer in the simplest form.
- For every 6 pens bought, 1 additional pen was given free. How many pens would Archie get in total if he were to spend all his money to buy pens only?
(a)
Cost of 3 notebooks =
13 of his money
Cost of 1 notebook
=
13 ÷ 3
=
13 x
13 =
19 of his money
Cost of 5 notebooks
= 5 x
19 =
59 of his money
Fraction of Archie's money spent to buy the 5 notebooks and 2 pens
= 1 -
13 =
23 Fraction of Archie's money spent to buy the 2 pens
=
23 -
59 =
69 -
59 =
19 (b)
19 of Archie's money = 2 pens
99 of Archie's money = 9 x 2 = 18 pens
Number of free pens
= 18 ÷ 6
= 3 r 3
Total number of pens that Archie would get
= 18 + 3
= 21
Answer(s): (a)
19; (b) 21