PSLEUsha had two streamers of the same length. She cut the first streamer into equal parts of length 30 cm and to each part she tied 2 silver balls. After that, she cut the second streamer into equal parts of length 45 cm and to each part she tied 4 pink balls. When she finished tying, she counted that there were 4 more pink balls than silver balls. How many balls were there altogether?
|
First streamer |
Second streamer |
Difference |
Total |
Length of each part |
30 cm |
45 cm |
|
|
Number of balloons tied to each part |
2 silver balloons |
4 pink balloons |
|
|
LCM |
90 cm |
90 cm |
|
|
Number of equal parts |
90 ÷ 30 = 3 |
90 ÷ 45 = 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 30 and 45 = 90
Number of sets of 2 silver balls in a length of 90 cm
= 90 ÷ 30
= 3
Number of silver balls in a length of 90 cm
= 3 x 2
= 6
Number of sets of 4 pink balls in a length of 90 cm
= 90 ÷ 45
= 2
Number of pink balls in a length of 90 cm
= 2 x 4
= 8
Extra number of pink balls in a length of 90 cm
= 8 - 6
= 2
Number of sets of balls
= 4 ÷ 2
= 2
Total number of balls in one set of 90 cm of silver balloons and one set of 90 cm of pink balloons
= 6 + 8
= 14
Total number of balls of the two streamers
= 2 x 14
= 28
Answer(s): 28