Three bags, B, C and D contained a certain number of buttons. Bag D contained
27 as many buttons as B and C combined. There were 73 more buttons in Bag B than in Bag D. Bag C contained 167 more buttons than Bag D. How many buttons were in Bag C?
Bag B |
Bag C |
Bag D |
Total |
7 u |
2 u |
9 u |
2 u + 73 |
2 u + 167 |
|
|
The total number of buttons in Bag B and Bag C is repeated.
2 u + 73 + 2 u + 167 = 7 u
4 u + 240 = 7 u
7 u - 4 u = 240
3 u = 240
1 u = 240 ÷ 3 = 80
Number of buttons in Bag C
= 2 u + 167
= 2 x 80 + 167
= 327
Answer(s): 327