PSLEShannon had two strings of the same length. She cut the first string into equal parts of length 60 cm and to each part she tied 2 pink flags. After that, she cut the second string into equal parts of length 70 cm and to each part she tied 4 yellow flags. When she finished tying, she counted that there were 50 more yellow flags than pink flags. How many flags were there altogether?
|
First string |
Second string |
Difference |
Total |
Length of each part |
60 cm |
70 cm |
|
|
Number of balloons tied to each part |
2 pink balloons |
4 yellow balloons |
|
|
LCM |
420 cm |
420 cm |
|
|
Number of equal parts |
420 ÷ 60 = 7 |
420 ÷ 70 = 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 60 and 70 = 420
Number of sets of 2 pink flags in a length of 420 cm
= 420 ÷ 60
= 7
Number of pink flags in a length of 420 cm
= 7 x 2
= 14
Number of sets of 4 yellow flags in a length of 420 cm
= 420 ÷ 70
= 6
Number of yellow flags in a length of 420 cm
= 6 x 4
= 24
Extra number of yellow flags in a length of 420 cm
= 24 - 14
= 10
Number of sets of flags
= 50 ÷ 10
= 5
Total number of flags in one set of 420 cm of pink balloons and one set of 420 cm of yellow balloons
= 14 + 24
= 38
Total number of flags of the two strings
= 5 x 38
= 190
Answer(s): 190