PSLEJoelle had two streamers of the same length. She cut the first streamer into equal parts of length 25 cm and to each part she tied 2 brown stars. After that, she cut the second streamer into equal parts of length 40 cm and to each part she tied 4 blue stars. When she finished tying, she counted that there were 8 more blue stars than brown stars. How many stars were there altogether?
|
First streamer |
Second streamer |
Difference |
Total |
Length of each part |
25 cm |
40 cm |
|
|
Number of balloons tied to each part |
2 brown balloons |
4 blue balloons |
|
|
LCM |
200 cm |
200 cm |
|
|
Number of equal parts |
200 ÷ 25 = 8 |
200 ÷ 40 = 5 |
|
|
Number of balloons for each streamer per set |
8 x 2 = 16 |
4 x 5 = 20 |
20 - 16 = 4 |
16 + 20 = 36 |
LCM of 25 and 40 = 200
Number of sets of 2 brown stars in a length of 200 cm
= 200 ÷ 25
= 8
Number of brown stars in a length of 200 cm
= 8 x 2
= 16
Number of sets of 4 blue stars in a length of 200 cm
= 200 ÷ 40
= 5
Number of blue stars in a length of 200 cm
= 5 x 4
= 20
Extra number of blue stars in a length of 200 cm
= 20 - 16
= 4
Number of sets of stars
= 8 ÷ 4
= 2
Total number of stars in one set of 200 cm of brown balloons and one set of 200 cm of blue balloons
= 16 + 20
= 36
Total number of stars of the two streamers
= 2 x 36
= 72
Answer(s): 72