PSLE Michael spent
13 of his money to buy 3 identical pencils. He spent the rest of his money to buy another 5 such pencils and 4 identical notebooks.
- What fraction of Michael's money was spent to buy the 4 notebooks? Give your answer in the simplest form.
- For every 3 notebooks bought, 1 additional notebook was given free. How many notebooks would Michael get in total if he were to spend all his money to buy notebooks only?
(a)
Cost of 3 pencils =
13 of his money
Cost of 1 pencil
=
13 ÷ 3
=
13 x
13 =
19 of his money
Cost of 5 pencils
= 5 x
19 =
59 of his money
Fraction of Michael's money spent to buy the 5 pencils and 2 notebooks
= 1 -
13 =
23 Fraction of Michael's money spent to buy the 4 notebooks
=
23 -
59 =
69 -
59 =
19 (b)
19 of Michael's money = 4 notebooks
99 of Michael's money = 9 x 4 = 36 notebooks
Number of free notebooks
= 36 ÷ 3
= 7 r 1
Total number of notebooks that Michael would get
= 36 + 7
= 43
Answer(s): (a)
19; (b) 43