PSLEMarion had two strings of the same length. She cut the first string into equal parts of length 35 cm and to each part she tied 2 blue cartoon cutouts. After that, she cut the second string into equal parts of length 50 cm and to each part she tied 4 pink cartoon cutouts. When she finished tying, she counted that there were 24 more pink cartoon cutouts than blue cartoon cutouts. How many cartoon cutouts were there altogether?
|
First string |
Second string |
Difference |
Total |
Length of each part |
35 cm |
50 cm |
|
|
Number of balloons tied to each part |
2 blue balloons |
4 pink balloons |
|
|
LCM |
350 cm |
350 cm |
|
|
Number of equal parts |
350 ÷ 35 = 10 |
350 ÷ 50 = 7 |
|
|
Number of balloons for each string per set |
10 x 2 = 20 |
4 x 7 = 28 |
28 - 20 = 8 |
20 + 28 = 48 |
LCM of 35 and 50 = 350
Number of sets of 2 blue cartoon cutouts in a length of 350 cm
= 350 ÷ 35
= 10
Number of blue cartoon cutouts in a length of 350 cm
= 10 x 2
= 20
Number of sets of 4 pink cartoon cutouts in a length of 350 cm
= 350 ÷ 50
= 7
Number of pink cartoon cutouts in a length of 350 cm
= 7 x 4
= 28
Extra number of pink cartoon cutouts in a length of 350 cm
= 28 - 20
= 8
Number of sets of cartoon cutouts
= 24 ÷ 8
= 3
Total number of cartoon cutouts in one set of 350 cm of blue balloons and one set of 350 cm of pink balloons
= 20 + 28
= 48
Total number of cartoon cutouts of the two strings
= 3 x 48
= 144
Answer(s): 144