Three bags, M, N and P contained a certain number of marbles. Bag P contained
310 as many marbles as M and N combined. There were 69 more marbles in Bag M than in Bag P. Bag N contained 175 more marbles than Bag P. How many marbles were in Bag N?
Bag M |
Bag N |
Bag P |
Total |
10 u |
3 u |
13 u |
3 u + 69 |
3 u + 175 |
|
|
The total number of marbles in Bag M and Bag N is repeated.
3 u + 69 + 3 u + 175 = 10 u
6 u + 244 = 10 u
10 u - 6 u = 244
4 u = 244
1 u = 244 ÷ 4 = 61
Number of marbles in Bag N
= 3 u + 175
= 3 x 61 + 175
= 358
Answer(s): 358