PSLEFanny had two streamers of the same length. She cut the first streamer into equal parts of length 80 cm and to each part she tied 4 blue cartoon cutouts. After that, she cut the second streamer into equal parts of length 90 cm and to each part she tied 5 pink cartoon cutouts. When she finished tying, she counted that there were 20 more pink cartoon cutouts than blue cartoon cutouts. How many cartoon cutouts were there altogether?
|
First streamer |
Second streamer |
Difference |
Total |
Length of each part |
80 cm |
90 cm |
|
|
Number of balloons tied to each part |
4 blue balloons |
5 pink balloons |
|
|
LCM |
720 cm |
720 cm |
|
|
Number of equal parts |
720 ÷ 80 = 9 |
720 ÷ 90 = 8 |
|
|
Number of balloons for each streamer per set |
9 x 4 = 36 |
5 x 8 = 40 |
40 - 36 = 4 |
36 + 40 = 76 |
LCM of 80 and 90 = 720
Number of sets of 4 blue cartoon cutouts in a length of 720 cm
= 720 ÷ 80
= 9
Number of blue cartoon cutouts in a length of 720 cm
= 9 x 4
= 36
Number of sets of 5 pink cartoon cutouts in a length of 720 cm
= 720 ÷ 90
= 8
Number of pink cartoon cutouts in a length of 720 cm
= 8 x 5
= 40
Extra number of pink cartoon cutouts in a length of 720 cm
= 40 - 36
= 4
Number of sets of cartoon cutouts
= 20 ÷ 4
= 5
Total number of cartoon cutouts in one set of 720 cm of blue balloons and one set of 720 cm of pink balloons
= 36 + 40
= 76
Total number of cartoon cutouts of the two streamers
= 5 x 76
= 380
Answer(s): 380