PSLEJoelle had two streamers of the same length. She cut the first streamer into equal parts of length 60 cm and to each part she tied 2 silver paper cranes. After that, she cut the second streamer into equal parts of length 90 cm and to each part she tied 5 white paper cranes. When she finished tying, she counted that there were 12 more white paper cranes than silver paper cranes. How many paper cranes were there altogether?
|
First streamer |
Second streamer |
Difference |
Total |
Length of each part |
60 cm |
90 cm |
|
|
Number of balloons tied to each part |
2 silver balloons |
5 white balloons |
|
|
LCM |
180 cm |
180 cm |
|
|
Number of equal parts |
180 ÷ 60 = 3 |
180 ÷ 90 = 2 |
|
|
Number of balloons for each streamer per set |
3 x 2 = 6 |
5 x 2 = 10 |
10 - 6 = 4 |
6 + 10 = 16 |
LCM of 60 and 90 = 180
Number of sets of 2 silver paper cranes in a length of 180 cm
= 180 ÷ 60
= 3
Number of silver paper cranes in a length of 180 cm
= 3 x 2
= 6
Number of sets of 5 white paper cranes in a length of 180 cm
= 180 ÷ 90
= 2
Number of white paper cranes in a length of 180 cm
= 2 x 5
= 10
Extra number of white paper cranes in a length of 180 cm
= 10 - 6
= 4
Number of sets of paper cranes
= 12 ÷ 4
= 3
Total number of paper cranes in one set of 180 cm of silver balloons and one set of 180 cm of white balloons
= 6 + 10
= 16
Total number of paper cranes of the two streamers
= 3 x 16
= 48
Answer(s): 48