PSLEGabby had two streamers of the same length. She cut the first streamer into equal parts of length 50 cm and to each part she tied 2 blue cartoon cutouts. After that, she cut the second streamer into equal parts of length 60 cm and to each part she tied 4 brown cartoon cutouts. When she finished tying, she counted that there were 24 more brown cartoon cutouts than blue cartoon cutouts. How many cartoon cutouts were there altogether?
|
First streamer |
Second streamer |
Difference |
Total |
Length of each part |
50 cm |
60 cm |
|
|
Number of balloons tied to each part |
2 blue balloons |
4 brown balloons |
|
|
LCM |
300 cm |
300 cm |
|
|
Number of equal parts |
300 ÷ 50 = 6 |
300 ÷ 60 = 5 |
|
|
Number of balloons for each streamer per set |
6 x 2 = 12 |
4 x 5 = 20 |
20 - 12 = 8 |
12 + 20 = 32 |
LCM of 50 and 60 = 300
Number of sets of 2 blue cartoon cutouts in a length of 300 cm
= 300 ÷ 50
= 6
Number of blue cartoon cutouts in a length of 300 cm
= 6 x 2
= 12
Number of sets of 4 brown cartoon cutouts in a length of 300 cm
= 300 ÷ 60
= 5
Number of brown cartoon cutouts in a length of 300 cm
= 5 x 4
= 20
Extra number of brown cartoon cutouts in a length of 300 cm
= 20 - 12
= 8
Number of sets of cartoon cutouts
= 24 ÷ 8
= 3
Total number of cartoon cutouts in one set of 300 cm of blue balloons and one set of 300 cm of brown balloons
= 12 + 20
= 32
Total number of cartoon cutouts of the two streamers
= 3 x 32
= 96
Answer(s): 96