PSLE Cole spent
25 of his money to buy 3 identical pencils. He spent the rest of his money to buy another 4 such pencils and 2 identical files.
- What fraction of Cole's money was spent to buy the 2 files? Give your answer in the simplest form.
- For every 5 files bought, 1 additional file was given free. How many files would Cole get in total if he were to spend all his money to buy files only?
(a)
Cost of 3 pencils =
25 of his money
Cost of 1 pencil
=
25 ÷ 3
=
25 x
13 =
215 of his money
Fraction of Cole's money spent to buy the 4 pencils and 2 files
= 1 -
25 =
35 Cost of 4 pencils
= 4 x
215 =
815 of his money
Fraction of Cole's money spent to buy the 2 files
=
35 -
815 =
915 -
815 =
115 (b)
115 of Cole's money = 2 files
1515 of Cole's money = 15 x 2 = 30 files
Number of free files
= 30 ÷ 5
= 7 r 2
Total number of files that Cole would get
= 30 + 7
= 37
Answer(s): (a)
115; (b) 37