PSLE
Esther and Dylan bought jigsaw puzzles at the prices shown below.

3 Large jigsaw puzzles for $8
5 Small jigsaw puzzles for $6

1. Esther bought an equal number of large and small jigsaw puzzles. She spent $88 more on the large ones. How many jigsaw puzzles did she buy altogether?
2. Dylan 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 Esther bought is the same. Make the number of large and small jigsaw puzzles the same. LCM of 3 and 5 is 15.

Cost of 3 large jigsaw puzzles = $8
Cost of 15 large jigsaw puzzles = 5 x 8 = $40

Cost of 5 small jigsaw puzzles = $6
Cost of 15 small jigsaw puzzles = 3 x 6 = $18

Difference in the cost of buying 15 small jigsaw puzzles and 15 large jigsaw puzzles
= 40 - 18
= $22

Number of sets of jigsaw puzzles
= 88 ÷ 22
= 4

Number of jigsaw puzzles that Esther bought
= 4 x 2 x 15
= 120

(b)
Dylan 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 6 is 24.

Number of large jigsaw puzzles that Dylan bought
= 3 x (24 ÷ 8)
= 3 x 3
= 9

Number of the small jigsaw puzzles that Dylan bought
= 5 x (24 ÷ 6)
= 5 x 4
= 20

Fraction of the jigsaw puzzles that Dylan bought that were small
= ²⁰_{9 + 20}
= ²⁰₂₉

Answer(s): (a) 120; (b) ²⁰₂₉