PSLEJulie had two streamers of the same length. She cut the first streamer into equal parts of length 60 cm and to each part she tied 2 black balls. After that, she cut the second streamer into equal parts of length 90 cm and to each part she tied 4 green balls. When she finished tying, she counted that there were 8 more green balls than black balls. How many balls were there altogether?
|
First streamer |
Second streamer |
Difference |
Total |
Length of each part |
60 cm |
90 cm |
|
|
Number of balloons tied to each part |
2 black balloons |
4 green balloons |
|
|
LCM |
180 cm |
180 cm |
|
|
Number of equal parts |
180 ÷ 60 = 3 |
180 ÷ 90 = 2 |
|
|
Number of balloons for each streamer per set |
3 x 2 = 6 |
4 x 2 = 8 |
8 - 6 = 2 |
6 + 8 = 14 |
LCM of 60 and 90 = 180
Number of sets of 2 black balls in a length of 180 cm
= 180 ÷ 60
= 3
Number of black balls in a length of 180 cm
= 3 x 2
= 6
Number of sets of 4 green balls in a length of 180 cm
= 180 ÷ 90
= 2
Number of green balls in a length of 180 cm
= 2 x 4
= 8
Extra number of green balls in a length of 180 cm
= 8 - 6
= 2
Number of sets of balls
= 8 ÷ 2
= 4
Total number of balls in one set of 180 cm of black balloons and one set of 180 cm of green balloons
= 6 + 8
= 14
Total number of balls of the two streamers
= 4 x 14
= 56
Answer(s): 56