PSLEFiona 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 pink stars. After that, she cut the second streamer into equal parts of length 35 cm and to each part she tied 5 green stars. When she finished tying, she counted that there were 64 more green stars than pink stars. How many stars were there altogether?
|
First streamer |
Second streamer |
Difference |
Total |
Length of each part |
30 cm |
35 cm |
|
|
Number of balloons tied to each part |
2 pink balloons |
5 green balloons |
|
|
LCM |
210 cm |
210 cm |
|
|
Number of equal parts |
210 ÷ 30 = 7 |
210 ÷ 35 = 6 |
|
|
Number of balloons for each streamer per set |
7 x 2 = 14 |
5 x 6 = 30 |
30 - 14 = 16 |
14 + 30 = 44 |
LCM of 30 and 35 = 210
Number of sets of 2 pink stars in a length of 210 cm
= 210 ÷ 30
= 7
Number of pink stars in a length of 210 cm
= 7 x 2
= 14
Number of sets of 5 green stars in a length of 210 cm
= 210 ÷ 35
= 6
Number of green stars in a length of 210 cm
= 6 x 5
= 30
Extra number of green stars in a length of 210 cm
= 30 - 14
= 16
Number of sets of stars
= 64 ÷ 16
= 4
Total number of stars in one set of 210 cm of pink balloons and one set of 210 cm of green balloons
= 14 + 30
= 44
Total number of stars of the two streamers
= 4 x 44
= 176
Answer(s): 176