PSLEOlivium had two strings of the same length. She cut the first string into equal parts of length 35 cm and to each part she tied 3 brown flags. After that, she cut the second string into equal parts of length 40 cm and to each part she tied 5 white flags. When she finished tying, she counted that there were 55 more white flags than brown flags. How many flags were there altogether?
|
First string |
Second string |
Difference |
Total |
Length of each part |
35 cm |
40 cm |
|
|
Number of balloons tied to each part |
3 brown balloons |
5 white balloons |
|
|
LCM |
280 cm |
280 cm |
|
|
Number of equal parts |
280 ÷ 35 = 8 |
280 ÷ 40 = 7 |
|
|
Number of balloons for each string per set |
8 x 3 = 24 |
5 x 7 = 35 |
35 - 24 = 11 |
24 + 35 = 59 |
LCM of 35 and 40 = 280
Number of sets of 3 brown flags in a length of 280 cm
= 280 ÷ 35
= 8
Number of brown flags in a length of 280 cm
= 8 x 3
= 24
Number of sets of 5 white flags in a length of 280 cm
= 280 ÷ 40
= 7
Number of white flags in a length of 280 cm
= 7 x 5
= 35
Extra number of white flags in a length of 280 cm
= 35 - 24
= 11
Number of sets of flags
= 55 ÷ 11
= 5
Total number of flags in one set of 280 cm of brown balloons and one set of 280 cm of white balloons
= 24 + 35
= 59
Total number of flags of the two strings
= 5 x 59
= 295
Answer(s): 295