Riordan has 5 bags and 3 packets of marbles. He has a total of 73 marbles. Each packet contains 3 more marbles than each bag. How many marbles are there in each packet?
| |
Bags |
Packets |
Total |
| Number |
5 |
3 |
|
| Value |
1 u |
1 u + 3 |
|
| Total value |
5 u |
3 u + 9 |
8 u + 9 |
Number of marbles in each bag = 1 u
Number of marbles in each packet = 1 u + 3
Total number of marbles in the bags = 5 x 1 u = 5 u
Total number of marbles in the packets = 3(1 u + 3) = 3 u + 9
Total number of marbles
= 3 u + 5 u + 9
= 8 u + 9
8 u + 9 = 73
8 u = 73 - 9
8 u = 64
1 u = 64 ÷ 8 = 8
Number of marbles in each packet
= 1 u + 3
= 8 + 3
= 11
Answer(s): 11
