PSLE Victoria and Ryan bought jigsaw puzzles at the prices shown below.
3 Large jigsaw puzzles for $8
4 Small jigsaw puzzles for $4
- Victoria bought an equal number of large and small jigsaw puzzles. She spent $60 more on the large ones. How many jigsaw puzzles did she buy altogether?
- Ryan spent an equal amount of money on the large and small jigsaw puzzles. What fraction of the jigsaw puzzles he bought were small?
(a)
Number of large and small jigsaw puzzles that Victoria bought is the same. Make the number of large and small jigsaw puzzles the same. LCM of 3 and 4 is 12.
Cost of 3 large jigsaw puzzles = $8
Cost of 12 large jigsaw puzzles = 4 x 8 = $32
Cost of 4 small jigsaw puzzles = $4
Cost of 12 small jigsaw puzzles = 3 x 4 = $12
Difference in the cost of buying 12 small jigsaw puzzles and 12 large jigsaw puzzles
= 32 - 12
= $20
Number of sets of jigsaw puzzles
= 60 ÷ 20
= 3
Number of jigsaw puzzles that Victoria bought
= 3 x 2 x 12
= 72
(b)
Ryan spent an equal amount of money on the large and small jigsaw puzzles. Make the amount of money spent on the large and small jigsaw puzzles the same.
LCM of 8 and 4 is 8.
Number of large jigsaw puzzles that Ryan bought
= 3 x (8 ÷ 8)
= 3 x 1
= 3
Number of the small jigsaw puzzles that Ryan bought
= 4 x (8 ÷ 4)
= 4 x 2
= 8
Fraction of the jigsaw puzzles that Ryan bought that were small
=
83 + 8 =
811 Answer(s): (a) 72; (b)
811