PSLECindy had two ribbons of the same length. She cut the first ribbon into equal parts of length 25 cm and to each part she tied 2 black paper cranes. After that, she cut the second ribbon into equal parts of length 30 cm and to each part she tied 3 pink paper cranes. When she finished tying, she counted that there were 12 more pink paper cranes than black paper cranes. How many paper cranes were there altogether?
|
First ribbon |
Second ribbon |
Difference |
Total |
Length of each part |
25 cm |
30 cm |
|
|
Number of balloons tied to each part |
2 black balloons |
3 pink balloons |
|
|
LCM |
150 cm |
150 cm |
|
|
Number of equal parts |
150 ÷ 25 = 6 |
150 ÷ 30 = 5 |
|
|
Number of balloons for each ribbon per set |
6 x 2 = 12 |
3 x 5 = 15 |
15 - 12 = 3 |
12 + 15 = 27 |
LCM of 25 and 30 = 150
Number of sets of 2 black paper cranes in a length of 150 cm
= 150 ÷ 25
= 6
Number of black paper cranes in a length of 150 cm
= 6 x 2
= 12
Number of sets of 3 pink paper cranes in a length of 150 cm
= 150 ÷ 30
= 5
Number of pink paper cranes in a length of 150 cm
= 5 x 3
= 15
Extra number of pink paper cranes in a length of 150 cm
= 15 - 12
= 3
Number of sets of paper cranes
= 12 ÷ 3
= 4
Total number of paper cranes in one set of 150 cm of black balloons and one set of 150 cm of pink balloons
= 12 + 15
= 27
Total number of paper cranes of the two ribbons
= 4 x 27
= 108
Answer(s): 108