Bryan has 3 bags and 4 packets of marbles. He has a total of 92 marbles. Each packet contains 9 more marbles than each bag. How many marbles are there in each packet?
| |
Bags |
Packets |
Total |
| Number |
3 |
4 |
|
| Value |
1 u |
1 u + 9 |
|
| Total value |
3 u |
4 u + 36 |
7 u + 36 |
Number of marbles in each bag = 1 u
Number of marbles in each packet = 1 u + 9
Total number of marbles in the bags = 3 x 1 u = 3 u
Total number of marbles in the packets = 4(1 u + 9) = 4 u + 36
Total number of marbles
= 4 u + 3 u + 36
= 7 u + 36
7 u + 36 = 92
7 u = 92 - 36
7 u = 56
1 u = 56 ÷ 7 = 8
Number of marbles in each packet
= 1 u + 9
= 8 + 9
= 17
Answer(s): 17
