PSLEGabby had two streamers of the same length. She cut the first streamer into equal parts of length 40 cm and to each part she tied 2 white balls. After that, she cut the second streamer into equal parts of length 90 cm and to each part she tied 5 silver balls. When she finished tying, she counted that there were 6 more silver balls than white balls. How many balls were there altogether?
|
First streamer |
Second streamer |
Difference |
Total |
Length of each part |
40 cm |
90 cm |
|
|
Number of balloons tied to each part |
2 white balloons |
5 silver balloons |
|
|
LCM |
360 cm |
360 cm |
|
|
Number of equal parts |
360 ÷ 40 = 9 |
360 ÷ 90 = 4 |
|
|
Number of balloons for each streamer per set |
9 x 2 = 18 |
5 x 4 = 20 |
20 - 18 = 2 |
18 + 20 = 38 |
LCM of 40 and 90 = 360
Number of sets of 2 white balls in a length of 360 cm
= 360 ÷ 40
= 9
Number of white balls in a length of 360 cm
= 9 x 2
= 18
Number of sets of 5 silver balls in a length of 360 cm
= 360 ÷ 90
= 4
Number of silver balls in a length of 360 cm
= 4 x 5
= 20
Extra number of silver balls in a length of 360 cm
= 20 - 18
= 2
Number of sets of balls
= 6 ÷ 2
= 3
Total number of balls in one set of 360 cm of white balloons and one set of 360 cm of silver balloons
= 18 + 20
= 38
Total number of balls of the two streamers
= 3 x 38
= 114
Answer(s): 114