Mark has 4 packets and 6 bags of marbles. He has a total of 130 marbles. Each bag contains 10 more marbles than each packet. How many marbles are there in each bag?
| |
Packets |
Bags |
Total |
| Number |
4 |
6 |
|
| Value |
1 u |
1 u + 10 |
|
| Total value |
4 u |
6 u + 60 |
10 u + 60 |
Number of marbles in each packet = 1 u
Number of marbles in each bag = 1 u + 10
Total number of marbles in the packets = 4 x 1 u = 4 u
Total number of marbles in the bags = 6(1 u + 10) = 6 u + 60
Total number of marbles
= 6 u + 4 u + 60
= 10 u + 60
10 u + 60 = 130
10 u = 130 - 60
10 u = 70
1 u = 70 ÷ 10 = 7
Number of marbles in each bag
= 1 u + 10
= 7 + 10
= 17
Answer(s): 17
