PSLE
Linda and Albert bought jigsaw puzzles at the prices shown below.

3 Large jigsaw puzzles for $14
5 Small jigsaw puzzles for $8

1. Linda bought an equal number of large and small jigsaw puzzles. She spent $184 more on the large ones. How many jigsaw puzzles did she buy altogether?
2. Albert 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 Linda 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 = $14
Cost of 15 large jigsaw puzzles = 5 x 14 = $70

Cost of 5 small jigsaw puzzles = $8
Cost of 15 small jigsaw puzzles = 3 x 8 = $24

Difference in the cost of buying 15 small jigsaw puzzles and 15 large jigsaw puzzles
= 70 - 24
= $46

Number of sets of jigsaw puzzles
= 184 ÷ 46
= 4

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

(b)
Albert 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 14 and 8 is 56.

Number of large jigsaw puzzles that Albert bought
= 3 x (56 ÷ 14)
= 3 x 4
= 12

Number of the small jigsaw puzzles that Albert bought
= 5 x (56 ÷ 8)
= 5 x 7
= 35

Fraction of the jigsaw puzzles that Albert bought that were small
= ³⁵_{12 + 35}
= ³⁵₄₇

Answer(s): (a) 120; (b) ³⁵₄₇