PSLEBarbara had two strings of the same length. She cut the first string into equal parts of length 25 cm and to each part she tied 2 red flags. After that, she cut the second string into equal parts of length 45 cm and to each part she tied 4 blue flags. When she finished tying, she counted that there were 6 more blue flags than red flags. How many flags were there altogether?
|
First string |
Second string |
Difference |
Total |
Length of each part |
25 cm |
45 cm |
|
|
Number of balloons tied to each part |
2 red balloons |
4 blue balloons |
|
|
LCM |
225 cm |
225 cm |
|
|
Number of equal parts |
225 ÷ 25 = 9 |
225 ÷ 45 = 5 |
|
|
Number of balloons for each string per set |
9 x 2 = 18 |
4 x 5 = 20 |
20 - 18 = 2 |
18 + 20 = 38 |
LCM of 25 and 45 = 225
Number of sets of 2 red flags in a length of 225 cm
= 225 ÷ 25
= 9
Number of red flags in a length of 225 cm
= 9 x 2
= 18
Number of sets of 4 blue flags in a length of 225 cm
= 225 ÷ 45
= 5
Number of blue flags in a length of 225 cm
= 5 x 4
= 20
Extra number of blue flags in a length of 225 cm
= 20 - 18
= 2
Number of sets of flags
= 6 ÷ 2
= 3
Total number of flags in one set of 225 cm of red balloons and one set of 225 cm of blue balloons
= 18 + 20
= 38
Total number of flags of the two strings
= 3 x 38
= 114
Answer(s): 114