PSLE Wendy and Simon bought storybooks at the prices shown below.
3 Large storybooks for $14
4 Small storybooks for $10
- Wendy bought an equal number of large and small storybooks. She spent $78 more on the large ones. How many storybooks did she buy altogether?
- Simon spent an equal amount of money on the large and small storybooks. What fraction of the storybooks he bought were large?
(a)
Number of large and small storybooks that Wendy bought is the same. Make the number of large and small storybooks the same. LCM of 3 and 4 is 12.
Cost of 3 large storybooks = $14
Cost of 12 large storybooks = 4 x 14 = $56
Cost of 4 small storybooks = $10
Cost of 12 small storybooks = 3 x 10 = $30
Difference in the cost of buying 12 small storybooks and 12 large storybooks
= 56 - 30
= $26
Number of sets of storybooks
= 78 ÷ 26
= 3
Number of storybooks that Wendy bought
= 3 x 2 x 12
= 72
(b)
Simon spent an equal amount of money on the large and small storybooks. Make the amount of money spent on the large and small storybooks the same.
LCM of 14 and 10 is 70.
Number of large storybooks that Simon bought
= 3 x (70 ÷ 14)
= 3 x 5
= 15
Number of the small storybooks that Simon bought
= 4 x (70 ÷ 10)
= 4 x 7
= 28
Fraction of the storybooks that Simon bought that were large
=
1515 + 28 =
1543 Answer(s): (a) 72; (b)
1543