A total of 245 white rulers and pink rulers are in a container. The ratio of white rulers to pink rulers was 1 : 4. Some gold rulers and red rulers were put into the container. For every 7 pink rulers that were already in the container, 3 red ones were added. Then, the final number of white rulers and gold rulers was
34 the final number of pink rulers and red rulers. Find the total number of gold and red rulers.
| Gold rulers |
White rulers |
Pink rulers |
Red rulers |
| |
1x7 |
4x7 |
|
| |
|
7x4 |
3x4 |
| 3x10 |
4x10 |
| 23 u |
7 u |
28 u |
12 u |
The number of pink rulers is repeated. Make the number of pink rulers the same. LCM of 4 and 7 is 28.
The total number of pink rulers and red rulers is repeated. Make the total number of pink and red rulers the same. LCM of 40 and 4 is 40.
Total number of white rulers and pink rulers
= 7 u + 28 u
= 35 u
35 u = 245
1 u = 245 ÷ 35 = 7
Total number of gold and red rulers
= 23 u + 12 u
= 35 u
= 35 x 7
= 245
Answer(s): 245
