PSLE Liam spent
37 of his money to buy 4 identical pens. He spent the rest of his money to buy another 5 such pens and 3 identical notebooks.
- What fraction of Liam's money was spent to buy the 3 notebooks? Give your answer in the simplest form.
- For every 5 notebooks bought, 1 additional notebook was given free. How many notebooks would Liam get in total if he were to spend all his money to buy notebooks only?
(a)
Cost of 4 pens =
37 of his money
Cost of 1 pen
=
37 ÷ 4
=
37 x
14 =
328 of his money
Cost of 5 pens
= 5 x
328 =
1528 of his money
Fraction of Liam's money spent to buy the 5 pens and 2 notebooks
= 1 -
37 =
47 Fraction of Liam's money spent to buy the 3 notebooks
=
47 -
1528 =
1628 -
1528 =
128 (b)
128 of Liam's money = 3 notebooks
2828 of Liam's money = 28 x 3 = 84 notebooks
Number of free notebooks
= 84 ÷ 5
= 16 r 4
Total number of notebooks that Liam would get
= 84 + 16
= 100
Answer(s): (a)
128; (b) 100