PSLERoshel had two ribbons of the same length. She cut the first ribbon into equal parts of length 35 cm and to each part she tied 3 yellow paper cranes. After that, she cut the second ribbon into equal parts of length 40 cm and to each part she tied 4 blue paper cranes. When she finished tying, she counted that there were 8 more blue paper cranes than yellow paper cranes. How many paper cranes were there altogether?
|
First ribbon |
Second ribbon |
Difference |
Total |
Length of each part |
35 cm |
40 cm |
|
|
Number of balloons tied to each part |
3 yellow balloons |
4 blue balloons |
|
|
LCM |
280 cm |
280 cm |
|
|
Number of equal parts |
280 ÷ 35 = 8 |
280 ÷ 40 = 7 |
|
|
Number of balloons for each ribbon per set |
8 x 3 = 24 |
4 x 7 = 28 |
28 - 24 = 4 |
24 + 28 = 52 |
LCM of 35 and 40 = 280
Number of sets of 3 yellow paper cranes in a length of 280 cm
= 280 ÷ 35
= 8
Number of yellow paper cranes in a length of 280 cm
= 8 x 3
= 24
Number of sets of 4 blue paper cranes in a length of 280 cm
= 280 ÷ 40
= 7
Number of blue paper cranes in a length of 280 cm
= 7 x 4
= 28
Extra number of blue paper cranes in a length of 280 cm
= 28 - 24
= 4
Number of sets of paper cranes
= 8 ÷ 4
= 2
Total number of paper cranes in one set of 280 cm of yellow balloons and one set of 280 cm of blue balloons
= 24 + 28
= 52
Total number of paper cranes of the two ribbons
= 2 x 52
= 104
Answer(s): 104