PSLEEmily had two ribbons of the same length. She cut the first ribbon into equal parts of length 30 cm and to each part she tied 2 brown flags. After that, she cut the second ribbon into equal parts of length 35 cm and to each part she tied 5 pink flags. When she finished tying, she counted that there were 48 more pink flags than brown flags. How many flags were there altogether?
|
First ribbon |
Second ribbon |
Difference |
Total |
Length of each part |
30 cm |
35 cm |
|
|
Number of balloons tied to each part |
2 brown balloons |
5 pink balloons |
|
|
LCM |
210 cm |
210 cm |
|
|
Number of equal parts |
210 ÷ 30 = 7 |
210 ÷ 35 = 6 |
|
|
Number of balloons for each ribbon per set |
7 x 2 = 14 |
5 x 6 = 30 |
30 - 14 = 16 |
14 + 30 = 44 |
LCM of 30 and 35 = 210
Number of sets of 2 brown flags in a length of 210 cm
= 210 ÷ 30
= 7
Number of brown flags in a length of 210 cm
= 7 x 2
= 14
Number of sets of 5 pink flags in a length of 210 cm
= 210 ÷ 35
= 6
Number of pink flags in a length of 210 cm
= 6 x 5
= 30
Extra number of pink flags in a length of 210 cm
= 30 - 14
= 16
Number of sets of flags
= 48 ÷ 16
= 3
Total number of flags in one set of 210 cm of brown balloons and one set of 210 cm of pink balloons
= 14 + 30
= 44
Total number of flags of the two ribbons
= 3 x 44
= 132
Answer(s): 132