PSLE
Esther had two streamers of the same length. She cut the first streamer into equal parts of length 35 cm and to each part she tied 2 blue heart cutouts. After that, she cut the second streamer into equal parts of length 40 cm and to each part she tied 3 grey heart cutouts. When she finished tying, she counted that there were 20 more grey heart cutouts than blue heart cutouts. How many heart cutouts were there altogether?

	First streamer	Second streamer	Difference	Total
Length of each part	35 cm	40 cm
Number of balloons tied to each part	2 blue balloons	3 grey balloons
LCM	280 cm	280 cm
Number of equal parts	280 ÷ 35 = 8	280 ÷ 40 = 7
Number of balloons for each streamer per set	8 x 2 = 16	3 x 7 = 21	21 - 16 = 5	16 + 21 = 37

LCM of 35 and 40 = 280

Number of sets of 2 blue heart cutouts in a length of 280 cm
= 280 ÷ 35
= 8

Number of blue heart cutouts in a length of 280 cm
= 8 x 2
= 16

Number of sets of 3 grey heart cutouts in a length of 280 cm
= 280 ÷ 40
= 7

Number of grey heart cutouts in a length of 280 cm
= 7 x 3
= 21

Extra number of grey heart cutouts in a length of 280 cm
= 21 - 16
= 5

Number of sets of heart cutouts
= 20 ÷ 5
= 4

Total number of heart cutouts in one set of 280 cm of blue balloons and one set of 280 cm of grey balloons
= 16 + 21
= 37

Total number of heart cutouts of the two streamers
= 4 x 37
= 148

Answer(s): 148