PSLEWinnie had two strings of the same length. She cut the first string into equal parts of length 30 cm and to each part she tied 2 grey flags. After that, she cut the second string into equal parts of length 35 cm and to each part she tied 4 red flags. When she finished tying, she counted that there were 50 more red flags than grey flags. How many flags were there altogether?
|
First string |
Second string |
Difference |
Total |
Length of each part |
30 cm |
35 cm |
|
|
Number of balloons tied to each part |
2 grey balloons |
4 red balloons |
|
|
LCM |
210 cm |
210 cm |
|
|
Number of equal parts |
210 ÷ 30 = 7 |
210 ÷ 35 = 6 |
|
|
Number of balloons for each string per set |
7 x 2 = 14 |
4 x 6 = 24 |
24 - 14 = 10 |
14 + 24 = 38 |
LCM of 30 and 35 = 210
Number of sets of 2 grey flags in a length of 210 cm
= 210 ÷ 30
= 7
Number of grey flags in a length of 210 cm
= 7 x 2
= 14
Number of sets of 4 red flags in a length of 210 cm
= 210 ÷ 35
= 6
Number of red flags in a length of 210 cm
= 6 x 4
= 24
Extra number of red flags in a length of 210 cm
= 24 - 14
= 10
Number of sets of flags
= 50 ÷ 10
= 5
Total number of flags in one set of 210 cm of grey balloons and one set of 210 cm of red balloons
= 14 + 24
= 38
Total number of flags of the two strings
= 5 x 38
= 190
Answer(s): 190