PSLEAbi had two ribbons of the same length. She cut the first ribbon into equal parts of length 60 cm and to each part she tied 2 black balloons. After that, she cut the second ribbon into equal parts of length 100 cm and to each part she tied 5 green balloons. When she finished tying, she counted that there were 25 more green balloons than black balloons. How many balloons were there altogether?
|
First ribbon |
Second ribbon |
Difference |
Total |
Length of each part |
60 cm |
100 cm |
|
|
Number of balloons tied to each part |
2 black balloons |
5 green balloons |
|
|
LCM |
300 cm |
300 cm |
|
|
Number of equal parts |
300 ÷ 60 = 5 |
300 ÷ 100 = 3 |
|
|
Number of balloons for each ribbon per set |
5 x 2 = 10 |
5 x 3 = 15 |
15 - 10 = 5 |
10 + 15 = 25 |
LCM of 60 and 100 = 300
Number of sets of 2 black balloons in a length of 300 cm
= 300 ÷ 60
= 5
Number of black balloons in a length of 300 cm
= 5 x 2
= 10
Number of sets of 5 green balloons in a length of 300 cm
= 300 ÷ 100
= 3
Number of green balloons in a length of 300 cm
= 3 x 5
= 15
Extra number of green balloons in a length of 300 cm
= 15 - 10
= 5
Number of sets of balloons
= 25 ÷ 5
= 5
Total number of balloons in one set of 300 cm of black balloons and one set of 300 cm of green balloons
= 10 + 15
= 25
Total number of balloons of the two ribbons
= 5 x 25
= 125
Answer(s): 125