PSLEMarion had two ribbons of the same length. She cut the first ribbon into equal parts of length 50 cm and to each part she tied 2 yellow cartoon cutouts. After that, she cut the second ribbon into equal parts of length 60 cm and to each part she tied 5 grey cartoon cutouts. When she finished tying, she counted that there were 52 more grey cartoon cutouts than yellow cartoon cutouts. How many cartoon cutouts were there altogether?
|
First ribbon |
Second ribbon |
Difference |
Total |
Length of each part |
50 cm |
60 cm |
|
|
Number of balloons tied to each part |
2 yellow balloons |
5 grey balloons |
|
|
LCM |
300 cm |
300 cm |
|
|
Number of equal parts |
300 ÷ 50 = 6 |
300 ÷ 60 = 5 |
|
|
Number of balloons for each ribbon per set |
6 x 2 = 12 |
5 x 5 = 25 |
25 - 12 = 13 |
12 + 25 = 37 |
LCM of 50 and 60 = 300
Number of sets of 2 yellow cartoon cutouts in a length of 300 cm
= 300 ÷ 50
= 6
Number of yellow cartoon cutouts in a length of 300 cm
= 6 x 2
= 12
Number of sets of 5 grey cartoon cutouts in a length of 300 cm
= 300 ÷ 60
= 5
Number of grey cartoon cutouts in a length of 300 cm
= 5 x 5
= 25
Extra number of grey cartoon cutouts in a length of 300 cm
= 25 - 12
= 13
Number of sets of cartoon cutouts
= 52 ÷ 13
= 4
Total number of cartoon cutouts in one set of 300 cm of yellow balloons and one set of 300 cm of grey balloons
= 12 + 25
= 37
Total number of cartoon cutouts of the two ribbons
= 4 x 37
= 148
Answer(s): 148