PSLEWinnie had two streamers of the same length. She cut the first streamer into equal parts of length 20 cm and to each part she tied 2 gold paper cranes. After that, she cut the second streamer into equal parts of length 25 cm and to each part she tied 4 white paper cranes. When she finished tying, she counted that there were 24 more white paper cranes than gold paper cranes. How many paper cranes were there altogether?
|
First streamer |
Second streamer |
Difference |
Total |
Length of each part |
20 cm |
25 cm |
|
|
Number of balloons tied to each part |
2 gold balloons |
4 white balloons |
|
|
LCM |
100 cm |
100 cm |
|
|
Number of equal parts |
100 ÷ 20 = 5 |
100 ÷ 25 = 4 |
|
|
Number of balloons for each streamer per set |
5 x 2 = 10 |
4 x 4 = 16 |
16 - 10 = 6 |
10 + 16 = 26 |
LCM of 20 and 25 = 100
Number of sets of 2 gold paper cranes in a length of 100 cm
= 100 ÷ 20
= 5
Number of gold paper cranes in a length of 100 cm
= 5 x 2
= 10
Number of sets of 4 white paper cranes in a length of 100 cm
= 100 ÷ 25
= 4
Number of white paper cranes in a length of 100 cm
= 4 x 4
= 16
Extra number of white paper cranes in a length of 100 cm
= 16 - 10
= 6
Number of sets of paper cranes
= 24 ÷ 6
= 4
Total number of paper cranes in one set of 100 cm of gold balloons and one set of 100 cm of white balloons
= 10 + 16
= 26
Total number of paper cranes of the two streamers
= 4 x 26
= 104
Answer(s): 104