PSLE
Erika had two strings of the same length. She cut the first string into equal parts of length 40 cm and to each part she tied 2 yellow heart cutouts. After that, she cut the second string into equal parts of length 60 cm and to each part she tied 4 purple heart cutouts. When she finished tying, she counted that there were 10 more purple heart cutouts than yellow heart cutouts. How many heart cutouts were there altogether?

	First string	Second string	Difference	Total
Length of each part	40 cm	60 cm
Number of balloons tied to each part	2 yellow balloons	4 purple balloons
LCM	120 cm	120 cm
Number of equal parts	120 ÷ 40 = 3	120 ÷ 60 = 2
Number of balloons for each string per set	3 x 2 = 6	4 x 2 = 8	8 - 6 = 2	6 + 8 = 14

LCM of 40 and 60 = 120

Number of sets of 2 yellow heart cutouts in a length of 120 cm
= 120 ÷ 40
= 3

Number of yellow heart cutouts in a length of 120 cm
= 3 x 2
= 6

Number of sets of 4 purple heart cutouts in a length of 120 cm
= 120 ÷ 60
= 2

Number of purple heart cutouts in a length of 120 cm
= 2 x 4
= 8

Extra number of purple heart cutouts in a length of 120 cm
= 8 - 6
= 2

Number of sets of heart cutouts
= 10 ÷ 2
= 5

Total number of heart cutouts in one set of 120 cm of yellow balloons and one set of 120 cm of purple balloons
= 6 + 8
= 14

Total number of heart cutouts of the two strings
= 5 x 14
= 70

Answer(s): 70