PSLEXylium had two ribbons of the same length. She cut the first ribbon into equal parts of length 50 cm and to each part she tied 3 silver paper cranes. After that, she cut the second ribbon into equal parts of length 60 cm and to each part she tied 5 green paper cranes. When she finished tying, she counted that there were 35 more green paper cranes than silver paper cranes. How many paper cranes were there altogether?
|
First ribbon |
Second ribbon |
Difference |
Total |
Length of each part |
50 cm |
60 cm |
|
|
Number of balloons tied to each part |
3 silver balloons |
5 green balloons |
|
|
LCM |
300 cm |
300 cm |
|
|
Number of equal parts |
300 ÷ 50 = 6 |
300 ÷ 60 = 5 |
|
|
Number of balloons for each ribbon per set |
6 x 3 = 18 |
5 x 5 = 25 |
25 - 18 = 7 |
18 + 25 = 43 |
LCM of 50 and 60 = 300
Number of sets of 3 silver paper cranes in a length of 300 cm
= 300 ÷ 50
= 6
Number of silver paper cranes in a length of 300 cm
= 6 x 3
= 18
Number of sets of 5 green paper cranes in a length of 300 cm
= 300 ÷ 60
= 5
Number of green paper cranes in a length of 300 cm
= 5 x 5
= 25
Extra number of green paper cranes in a length of 300 cm
= 25 - 18
= 7
Number of sets of paper cranes
= 35 ÷ 7
= 5
Total number of paper cranes in one set of 300 cm of silver balloons and one set of 300 cm of green balloons
= 18 + 25
= 43
Total number of paper cranes of the two ribbons
= 5 x 43
= 215
Answer(s): 215