PSLESabrina had two ribbons of the same length. She cut the first ribbon into equal parts of length 25 cm and to each part she tied 3 silver stars. After that, she cut the second ribbon into equal parts of length 35 cm and to each part she tied 5 red stars. When she finished tying, she counted that there were 16 more red stars than silver stars. How many stars were there altogether?
|
First ribbon |
Second ribbon |
Difference |
Total |
Length of each part |
25 cm |
35 cm |
|
|
Number of balloons tied to each part |
3 silver balloons |
5 red balloons |
|
|
LCM |
175 cm |
175 cm |
|
|
Number of equal parts |
175 ÷ 25 = 7 |
175 ÷ 35 = 5 |
|
|
Number of balloons for each ribbon per set |
7 x 3 = 21 |
5 x 5 = 25 |
25 - 21 = 4 |
21 + 25 = 46 |
LCM of 25 and 35 = 175
Number of sets of 3 silver stars in a length of 175 cm
= 175 ÷ 25
= 7
Number of silver stars in a length of 175 cm
= 7 x 3
= 21
Number of sets of 5 red stars in a length of 175 cm
= 175 ÷ 35
= 5
Number of red stars in a length of 175 cm
= 5 x 5
= 25
Extra number of red stars in a length of 175 cm
= 25 - 21
= 4
Number of sets of stars
= 16 ÷ 4
= 4
Total number of stars in one set of 175 cm of silver balloons and one set of 175 cm of red balloons
= 21 + 25
= 46
Total number of stars of the two ribbons
= 4 x 46
= 184
Answer(s): 184