PSLERachel had two ribbons of the same length. She cut the first ribbon into equal parts of length 80 cm and to each part she tied 2 pink paper cranes. After that, she cut the second ribbon into equal parts of length 100 cm and to each part she tied 5 silver paper cranes. When she finished tying, she counted that there were 20 more silver paper cranes than pink paper cranes. How many paper cranes were there altogether?
|
First ribbon |
Second ribbon |
Difference |
Total |
Length of each part |
80 cm |
100 cm |
|
|
Number of balloons tied to each part |
2 pink balloons |
5 silver balloons |
|
|
LCM |
400 cm |
400 cm |
|
|
Number of equal parts |
400 ÷ 80 = 5 |
400 ÷ 100 = 4 |
|
|
Number of balloons for each ribbon per set |
5 x 2 = 10 |
5 x 4 = 20 |
20 - 10 = 10 |
10 + 20 = 30 |
LCM of 80 and 100 = 400
Number of sets of 2 pink paper cranes in a length of 400 cm
= 400 ÷ 80
= 5
Number of pink paper cranes in a length of 400 cm
= 5 x 2
= 10
Number of sets of 5 silver paper cranes in a length of 400 cm
= 400 ÷ 100
= 4
Number of silver paper cranes in a length of 400 cm
= 4 x 5
= 20
Extra number of silver paper cranes in a length of 400 cm
= 20 - 10
= 10
Number of sets of paper cranes
= 20 ÷ 10
= 2
Total number of paper cranes in one set of 400 cm of pink balloons and one set of 400 cm of silver balloons
= 10 + 20
= 30
Total number of paper cranes of the two ribbons
= 2 x 30
= 60
Answer(s): 60