PSLEFanny 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 green cartoon cutouts. After that, she cut the second streamer into equal parts of length 100 cm and to each part she tied 4 white cartoon cutouts. When she finished tying, she counted that there were 10 more white cartoon cutouts than green cartoon cutouts. How many cartoon cutouts were there altogether?
|
First streamer |
Second streamer |
Difference |
Total |
Length of each part |
60 cm |
100 cm |
|
|
Number of balloons tied to each part |
2 green balloons |
4 white balloons |
|
|
LCM |
300 cm |
300 cm |
|
|
Number of equal parts |
300 ÷ 60 = 5 |
300 ÷ 100 = 3 |
|
|
Number of balloons for each streamer per set |
5 x 2 = 10 |
4 x 3 = 12 |
12 - 10 = 2 |
10 + 12 = 22 |
LCM of 60 and 100 = 300
Number of sets of 2 green cartoon cutouts in a length of 300 cm
= 300 ÷ 60
= 5
Number of green cartoon cutouts in a length of 300 cm
= 5 x 2
= 10
Number of sets of 4 white cartoon cutouts in a length of 300 cm
= 300 ÷ 100
= 3
Number of white cartoon cutouts in a length of 300 cm
= 3 x 4
= 12
Extra number of white cartoon cutouts in a length of 300 cm
= 12 - 10
= 2
Number of sets of cartoon cutouts
= 10 ÷ 2
= 5
Total number of cartoon cutouts in one set of 300 cm of green balloons and one set of 300 cm of white balloons
= 10 + 12
= 22
Total number of cartoon cutouts of the two streamers
= 5 x 22
= 110
Answer(s): 110